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Quantum Algebra and Symmetry Quantum Algebraic Topology, Quantum Field Theories and Higher Dimensional Algebra PDF generated using the open source mwlib toolkit. See http://code.pediapress.com/ for more information. PDF generated at: Sun, 12 Dec 2010 01:24:24 UTC

  • Page 2: Contents
  • Page 4: Representations of finite groups of
  • Page 6: Article Licenses
  • Page 8: I.C.Baianu,Ph.D., M.Inst.P, Editor
  • Page 10: Quantum mechanics 4
  • Page 12: Quantum mechanics 6
  • Page 14: Quantum mechanics 8
  • Page 16: Quantum mechanics 10
  • Page 18: Quantum mechanics 12
  • Page 20: Quantum mechanics 14
  • Page 22: Quantum mechanics 16
  • Page 24: Schrödinger equation 18
  • Page 26: Schrödinger equation 20
  • Page 28: Schrödinger equation 22
  • Page 30: Schrödinger equation 24
  • Page 32: Dirac equation 26
  • Page 34: Dirac equation 28
  • Page 36: Dirac equation 30
  • Page 38: Dirac equation 32
  • Page 40: Dirac equation 34
  • Page 42: Klein-Gordon equation 36
  • Page 44: Klein-Gordon equation 38
  • Page 46: Einstein-Maxwell-Dirac equations 40
  • Page 48: Rigged Hilbert space 42
  • Page 50: Quasi-Hopf algebra 44
  • Page 52:

    Ribbon Hopf algebra 46

  • Page 54:

    Grassmann algebra 48

  • Page 56:

    Grassmann algebra 50

  • Page 58:

    Grassmann algebra 52

  • Page 60:

    Grassmann algebra 54

  • Page 62:

    Grassmann algebra 56

  • Page 64:

    Grassmann algebra 58

  • Page 66:

    Grassmann algebra 60

  • Page 68:

    Superalgebra 62

  • Page 70:

    Superalgebra 64

  • Page 72:

    Supergravity 66

  • Page 74:

    Supergravity 68

  • Page 76:

    Supergravity 70

  • Page 78:

    Quantum statistical mechanics 72

  • Page 80:

    Quantum thermodynamics 74

  • Page 82:

    Supertheory 76

  • Page 84:

    Supertheory 78

  • Page 86:

    Supertheory 80

  • Page 88:

    Lie algebra 82

  • Page 90:

    Lie algebra 84

  • Page 92:

    Lie algebra 86

  • Page 94:

    Lie group 88

  • Page 96:

    Lie group 90

  • Page 98:

    Lie group 92

  • Page 100:

    Lie group 94

  • Page 102:

    Hopf algebra 96

  • Page 104:

    Hopf algebra 98

  • Page 106:

    Hopf algebra 100

  • Page 108:

    Quantum group 102

  • Page 110:

    Quantum group 104

  • Page 112:

    Quantum group 106

  • Page 114:

    Quantum group 108

  • Page 116:

    Affine Lie algebra 110

  • Page 118:

    Operator algebra 112

  • Page 120:

    Clifford algebra 114

  • Page 122:

    Clifford algebra 116

  • Page 124:

    Clifford algebra 118

  • Page 126:

    Clifford algebra 120

  • Page 128:

    Clifford algebra 122

  • Page 130:

    Distributions 124

  • Page 132:

    Distributions 126

  • Page 134:

    Distributions 128

  • Page 136:

    Distributions 130

  • Page 138:

    Distributions 132

  • Page 140:

    Hilbert space 134

  • Page 142:

    Hilbert space 136

  • Page 144:

    Hilbert space 138

  • Page 146:

    Hilbert space 140

  • Page 148:

    Hilbert space 142

  • Page 150:

    Hilbert space 144

  • Page 152:

    Hilbert space 146

  • Page 154:

    Hilbert space 148

  • Page 156:

    Hilbert space 150

  • Page 158:

    Hilbert space 152

  • Page 160:

    Hilbert space 154

  • Page 162:

    Hilbert space 156

  • Page 164:

    Hilbert space 158

  • Page 166:

    Hilbert space 160

  • Page 168:

    Von Neumann algebra 162

  • Page 170:

    Von Neumann algebra 164

  • Page 172:

    Von Neumann algebra 166

  • Page 174:

    Von Neumann algebra 168

  • Page 176:

    Von Neumann algebra 170

  • Page 178:

    C*-algebra 172

  • Page 180:

    C*-algebra 174

  • Page 182:

    Kac-Moody algebra 176

  • Page 184:

    Spectral theory 178

  • Page 186:

    Spectral theory 180

  • Page 188:

    Spectral theory 182

  • Page 190:

    Spectral theory 184

  • Page 192:

    Quantum electrodynamics 186

  • Page 194:

    Quantum electrodynamics 188

  • Page 196:

    Quantum electrodynamics 190

  • Page 198:

    Quantum electrodynamics 192

  • Page 200:

    Quantum electrodynamics 194

  • Page 202:

    Quantum electrodynamics 196

  • Page 204:

    Quantum field theory 198

  • Page 206:

    Quantum field theory 200

  • Page 208:

    Quantum field theory 202

  • Page 210:

    Quantum field theory 204

  • Page 212:

    Quantum field theory 206

  • Page 214:

    Quantum field theory 208

  • Page 216:

    Quantum field theory 210

  • Page 218:

    Scalar field theory 212

  • Page 220:

    Scalar field theory 214

  • Page 222:

    Scalar field theory 216

  • Page 224:

    Scalar field theory 218

  • Page 226:

    Yang-Mills theory 220

  • Page 228:

    Yang-Mills theory 222

  • Page 230:

    Yangian 224

  • Page 232:

    Quantum spacetime 226

  • Page 234:

    Quantum spacetime 228

  • Page 236:

    Quantum gauge theory 230

  • Page 238:

    Standard Model 232

  • Page 240:

    Standard Model 234

  • Page 242:

    Standard Model 236

  • Page 244:

    Standard Model 238

  • Page 246:

    Standard Model 240

  • Page 248:

    Standard Model 242

  • Page 250:

    Topological quantum field theory 24

  • Page 252:

    Topological quantum field theory 24

  • Page 254:

    Quantum Chromodynamics 248

  • Page 256:

    Quantum Chromodynamics 250

  • Page 258:

    Quantum Chromodynamics 252

  • Page 260:

    Quantum Chromodynamics 254

  • Page 262:

    Loop Quantum Gravity 256

  • Page 264:

    Loop Quantum Gravity 258

  • Page 266:

    Loop Quantum Gravity 260

  • Page 268:

    Loop Quantum Gravity 262

  • Page 270:

    Quantum Algebraic Topology 264

  • Page 272:

    Quantum Algebraic Topology 266

  • Page 274:

    Quantum Algebraic Topology 268

  • Page 276:

    Commutativity 270

  • Page 278:

    Commutativity 272

  • Page 280:

    Noncommutative quantum field theory

  • Page 282:

    Nonabelian Gauge Theory 276

  • Page 284:

    Nonabelian Gauge Theory 278

  • Page 286:

    Nonabelian Gauge Theory 280

  • Page 288:

    Nonabelian Gauge Theory 282

  • Page 290:

    Nonabelian Gauge Theory 284

  • Page 292:

    Nonabelian Gauge Theory 286

  • Page 294:

    Noncommutative geometry 288

  • Page 296:

    Noncommutative geometry 290

  • Page 298:

    Quantum gravity 292

  • Page 300:

    Quantum gravity 294

  • Page 302:

    Quantum gravity 296

  • Page 304:

    Quantum gravity 298

  • Page 306:

    String Theories 300

  • Page 308:

    String Theories 302

  • Page 310:

    String Theories 304

  • Page 312:

    String Theories 306

  • Page 314:

    String Theories 308

  • Page 316:

    String Theories 310

  • Page 318:

    String Theories 312

  • Page 320:

    String Theories 314

  • Page 322:

    String Theories 316

  • Page 324:

    String Theories 318

  • Page 326:

    Superstring Theories 320

  • Page 328:

    Superstring Theories 322

  • Page 330:

    Group Representations and Symmetry

  • Page 332:

    Symmetry 326

  • Page 334:

    Symmetry 328

  • Page 336:

    Symmetry 330

  • Page 338:

    Symmetry 332

  • Page 340:

    Symmetry 334

  • Page 342:

    Symmetry 336

  • Page 344:

    ''Representations'' 338

  • Page 346:

    ''Representations'' 340

  • Page 348:

    Representations of the symmetric gr

  • Page 350:

    Representations of a finite group 3

  • Page 352:

    Representations of a finite group 3

  • Page 354:

    Representations of a finite group 3

  • Page 356:

    Representations of finite groups of

  • Page 358:

    Representations of finite groups of

  • Page 360:

    Representations of finite groups of

  • Page 362:

    Representations of Lie groups 356

  • Page 364:

    Representations of Lie algebras 358

  • Page 366:

    Representation theory of the Lorent

  • Page 368:

    Representation theory of the Lorent

  • Page 370:

    Representation theory of the Lorent

  • Page 372:

    Double group 366

  • Page 374:

    Double group 368

  • Page 376:

    Double group 370

  • Page 378:

    Noether's Theorem 372

  • Page 380:

    Noether's Theorem 374

  • Page 382:

    Noether's Theorem 376

  • Page 384:

    Noether's Theorem 378

  • Page 386:

    Noether's Theorem 380

  • Page 388:

    Noether's Theorem 382

  • Page 390:

    Goldstone theorem 384

  • Page 392:

    Goldstone theorem 386

  • Page 394:

    Stone-von Neumann theorem 388

  • Page 396:

    Stone-von Neumann theorem 390

  • Page 398:

    Peter-Weyl theorem 392

  • Page 400:

    Peter-Weyl theorem 394

  • Page 402:

    Supersymmetry 396

  • Page 404:

    Supersymmetry 398

  • Page 406:

    Supersymmetry 400

  • Page 408:

    Invariance mechanics 402

  • Page 410:

    Invariance mechanics 404

  • Page 412:

    Wigner's classification 406

  • Page 414:

    Quantum magnetodynamics 408

  • Page 416:

    Quantum magnetodynamics 410

  • Page 418:

    Quantum magnetodynamics 412

  • Page 420:

    Quantum magnetodynamics 414

  • Page 422:

    Quantum magnetodynamics 416

  • Page 424:

    Quantum magnetodynamics 418

  • Page 426:

    Higher Dimensional Algebra

  • Page 428:

    Algebraic Topology 422

  • Page 430:

    Category Theory 424

  • Page 432:

    Category Theory 426

  • Page 434:

    Category Theory 428

  • Page 436:

    Category Theory 430

  • Page 438:

    Double Groupoid 432

  • Page 440:

    Higher dimensional algebra 434

  • Page 442:

    Higher dimensional algebra 436

  • Page 444:

    Higher category theory 438

  • Page 446:

    Duality (mathematics) 440

  • Page 448:

    Duality (mathematics) 442

  • Page 450:

    Duality (mathematics) 444

  • Page 452:

    Duality (mathematics) 446

  • Page 454:

    Anabelian geometry 448

  • Page 456:

    Noncommutative geometry 450

  • Page 458:

    Quantum Logics and Quantum Computer

  • Page 460:

    Multi-valued logic 454

  • Page 462:

    Quantum information 456

  • Page 464:

    Quantum logic 458

  • Page 466:

    Quantum logic 460

  • Page 468:

    Quantum logic 462

  • Page 470:

    Quantum computer 464

  • Page 472:

    Quantum computer 466

  • Page 474:

    Quantum computer 468

  • Page 476:

    Quantum computer 470

  • Page 478:

    Boolean logic

  • Page 480:

    Boolean logic 474

  • Page 482:

    Boolean logic 476

  • Page 484:

    Algebraic logic 478

  • Page 486:

    Algebraic logic 480

  • Page 488:

    Intuitionistic logic 482

  • Page 490:

    Intuitionistic logic 484

  • Page 492:

    Intuitionistic logic 486

  • Page 494:

    Mathematical logic 488

  • Page 496:

    Mathematical logic 490

  • Page 498:

    Mathematical logic 492

  • Page 500:

    Mathematical logic 494

  • Page 502:

    Mathematical logic 496

  • Page 504:

    Mathematical logic 498

  • Page 506:

    Mathematical logic 500

  • Page 508:

    Metatheory 502

  • Page 510:

    Metalogic 504

  • Page 512:

    Niels Bohr

  • Page 514:

    Niels Bohr 508

  • Page 516:

    Niels Bohr 510

  • Page 518:

    Niels Bohr 512

  • Page 520:

    Max Planck 514

  • Page 522:

    Max Planck 516

  • Page 524:

    Max Planck 518

  • Page 526:

    Max Planck 520

  • Page 528:

    Max Planck 522

  • Page 530:

    Louis de Broglie 524

  • Page 532:

    The Lord Rutherford of Nelson 526

  • Page 534:

    The Lord Rutherford of Nelson 528

  • Page 536:

    The Lord Rutherford of Nelson 530

  • Page 538:

    The Lord Rutherford of Nelson 532

  • Page 540:

    Albert Einstein 534

  • Page 542:

    Albert Einstein 536

  • Page 544:

    Albert Einstein 538

  • Page 546:

    Albert Einstein 540

  • Page 548:

    Albert Einstein 542

  • Page 550:

    Albert Einstein 544

  • Page 552:

    Albert Einstein 546

  • Page 554:

    Albert Einstein 548

  • Page 556:

    Albert Einstein 550

  • Page 558:

    Albert Einstein 552

  • Page 560:

    Albert Einstein 554

  • Page 562:

    Albert Einstein 556

  • Page 564:

    Albert Einstein 558

  • Page 566:

    Albert Einstein 560

  • Page 568:

    Erwin Schrödinger 562

  • Page 570:

    Erwin Schrödinger 564

  • Page 572:

    Erwin Schrödinger 566

  • Page 574:

    John von Neumann 568

  • Page 576:

    John von Neumann 570

  • Page 578:

    John von Neumann 572

  • Page 580:

    John von Neumann 574

  • Page 582:

    John von Neumann 576

  • Page 584:

    John von Neumann 578

  • Page 586:

    John van Vleck 580

  • Page 588:

    John van Vleck 582

  • Page 590:

    Paul Dirac 584

  • Page 592:

    Paul Dirac 586

  • Page 594:

    Paul Dirac 588

  • Page 596:

    Paul Dirac 590

  • Page 598:

    Paul Dirac 592

  • Page 600:

    Werner Heisenberg 594

  • Page 602:

    Werner Heisenberg 596

  • Page 604:

    Werner Heisenberg 598

  • Page 606:

    Werner Heisenberg 600

  • Page 608:

    Werner Heisenberg 602

  • Page 610:

    Werner Heisenberg 604

  • Page 612:

    Werner Heisenberg 606

  • Page 614:

    Werner Heisenberg 608

  • Page 616:

    Werner Heisenberg 610

  • Page 618:

    Werner Heisenberg 612

  • Page 620:

    Werner Heisenberg 614

  • Page 622:

    Albert Einstein 616

  • Page 624:

    Albert Einstein 618

  • Page 626:

    Albert Einstein 620

  • Page 628:

    Albert Einstein 622

  • Page 630:

    Albert Einstein 624

  • Page 632:

    Albert Einstein 626

  • Page 634:

    Albert Einstein 628

  • Page 636:

    Albert Einstein 630

  • Page 638:

    Albert Einstein 632

  • Page 640:

    Albert Einstein 634

  • Page 642:

    Albert Einstein 636

  • Page 644:

    Albert Einstein 638

  • Page 646:

    Albert Einstein 640

  • Page 648:

    Albert Einstein 642

  • Page 650:

    Max Born 644

  • Page 652:

    Max Born 646

  • Page 654:

    Max Born 648

  • Page 656:

    Max Born 650

  • Page 658:

    Max Born 652

  • Page 660:

    Max Born 654

  • Page 662:

    Eugene Wigner 656

  • Page 664:

    Eugene Wigner 658

  • Page 666:

    Eugene Wigner 660

  • Page 668:

    Alexandru Proca 662

  • Page 670:

    Hideki Yukawa 664

  • Page 672:

    Neville Mott 666

  • Page 674:

    Paul W. Anderson 668

  • Page 676:

    George Karreman 670

  • Page 678:

    George Karreman 672

  • Page 680:

    Richard Feynman 674

  • Page 682:

    Richard Feynman 676

  • Page 684:

    Richard Feynman 678

  • Page 686:

    Richard Feynman 680

  • Page 688:

    Richard Feynman 682

  • Page 690:

    Richard Feynman 684

  • Page 692:

    Richard Feynman 686

  • Page 694:

    Richard Feynman 688

  • Page 696:

    Murray Gell-Mann 690

  • Page 698:

    Murray Gell-Mann 692

  • Page 700:

    Stephen Weinberg 694

  • Page 702:

    Stephen Weinberg 696

  • Page 704:

    Stephen Weinberg 698

  • Page 706:

    Anatole Abragam 700

  • Page 708:

    Ştefan Procopiu 702

  • Page 710:

    Ionel Solomon 704

  • Page 712:

    Article Sources and Contributors 70

  • Page 714:

    Article Sources and Contributors 70

  • Page 716:

    Article Sources and Contributors 71

  • Page 718:

    Article Sources and Contributors 71

  • Page 720:

    Article Sources and Contributors 71

  • Page 722:

    Article Sources and Contributors 71

  • Page 724:

    Article Sources and Contributors 71

  • Page 726:

    Article Sources and Contributors 72

  • Page 728:

    Image Sources, Licenses and Contrib

  • Page 730:

    License 724

  • Page 3: Clifford algebra 113
  • Page 5: Intuitionistic logic 482
  • Page 7: Copyright©2010 by I.C. Baianu ;v5,
  • Page 9: Quantum mechanics
  • Page 11: Quantum mechanics 5
  • Page 13: Quantum mechanics 7
  • Page 15: Quantum mechanics 9
  • Page 17: Quantum mechanics 11
  • Page 19: Quantum mechanics 13
  • Page 21: Quantum mechanics 15
  • Page 23: Quantum mechanics 17
  • Page 25: Schrödinger equation 19
  • Page 27: Schrödinger equation 21
  • Page 29: Schrödinger equation 23
  • Page 31: Dirac equation 25
  • Page 33: Dirac equation 27
  • Page 35: Dirac equation 29
  • Page 37: Dirac equation 31
  • Page 39: Dirac equation 33
  • Page 41: Dirac equation 35
  • Page 43: Klein-Gordon equation 37
  • Page 45: Klein-Gordon equation 39
  • Page 47: Einstein-Maxwell-Dirac equations 41
  • Page 49: Quantum inverse scattering method 4
  • Page 51: Quasitriangular Hopf algebra 45
  • Page 53:

    Grassmann algebra 47

  • Page 55:

    Grassmann algebra 49

  • Page 57:

    Grassmann algebra 51

  • Page 59:

    Grassmann algebra 53

  • Page 61:

    Grassmann algebra 55

  • Page 63:

    Grassmann algebra 57

  • Page 65:

    Grassmann algebra 59

  • Page 67:

    Supergroup 61

  • Page 69:

    Superalgebra 63

  • Page 71:

    Superalgebra 65

  • Page 73:

    Supergravity 67

  • Page 75:

    Supergravity 69

  • Page 77:

    Quantum statistical mechanics 71

  • Page 79:

    Quantum statistical mechanics 73

  • Page 81:

    Supertheory 75

  • Page 83:

    Supertheory 77

  • Page 85:

    Supertheory 79

  • Page 87:

    Quantum algebra

  • Page 89:

    Lie algebra 83

  • Page 91:

    Lie algebra 85

  • Page 93:

    Lie group 87

  • Page 95:

    Lie group 89

  • Page 97:

    Lie group 91

  • Page 99:

    Lie group 93

  • Page 101:

    Lie group 95

  • Page 103:

    Hopf algebra 97

  • Page 105:

    Hopf algebra 99

  • Page 107:

    Quantum group 101

  • Page 109:

    Quantum group 103

  • Page 111:

    Quantum group 105

  • Page 113:

    Quantum group 107

  • Page 115:

    Affine Lie algebra 109

  • Page 117:

    Quantum affine algebra 111

  • Page 119:

    Clifford algebra 113

  • Page 121:

    Clifford algebra 115

  • Page 123:

    Clifford algebra 117

  • Page 125:

    Clifford algebra 119

  • Page 127:

    Clifford algebra 121

  • Page 129:

    Distributions 123

  • Page 131:

    Distributions 125

  • Page 133:

    Distributions 127

  • Page 135:

    Distributions 129

  • Page 137:

    Distributions 131

  • Page 139:

    Distributions 133

  • Page 141:

    Hilbert space 135

  • Page 143:

    Hilbert space 137

  • Page 145:

    Hilbert space 139

  • Page 147:

    Hilbert space 141

  • Page 149:

    Hilbert space 143

  • Page 151:

    Hilbert space 145

  • Page 153:

    Hilbert space 147

  • Page 155:

    Hilbert space 149

  • Page 157:

    Hilbert space 151

  • Page 159:

    Hilbert space 153

  • Page 161:

    Hilbert space 155

  • Page 163:

    Hilbert space 157

  • Page 165:

    Hilbert space 159

  • Page 167:

    Von Neumann algebra 161

  • Page 169:

    Von Neumann algebra 163

  • Page 171:

    Von Neumann algebra 165

  • Page 173:

    Von Neumann algebra 167

  • Page 175:

    Von Neumann algebra 169

  • Page 177:

    C*-algebra 171

  • Page 179:

    C*-algebra 173

  • Page 181:

    C*-algebra 175

  • Page 183:

    Kac-Moody algebra 177

  • Page 185:

    Spectral theory 179

  • Page 187:

    Spectral theory 181

  • Page 189:

    Spectral theory 183

  • Page 191:

    Quantum Field Theory, SUSY, Quantum

  • Page 193:

    Quantum electrodynamics 187

  • Page 195:

    Quantum electrodynamics 189

  • Page 197:

    Quantum electrodynamics 191

  • Page 199:

    Quantum electrodynamics 193

  • Page 201:

    Quantum electrodynamics 195

  • Page 203:

    Quantum field theory 197

  • Page 205:

    Quantum field theory 199

  • Page 207:

    Quantum field theory 201

  • Page 209:

    Quantum field theory 203

  • Page 211:

    Quantum field theory 205

  • Page 213:

    Quantum field theory 207

  • Page 215:

    Quantum field theory 209

  • Page 217:

    Quantum field theory 211

  • Page 219:

    Scalar field theory 213

  • Page 221:

    Scalar field theory 215

  • Page 223:

    Scalar field theory 217

  • Page 225:

    Yang-Mills theory 219

  • Page 227:

    Yang-Mills theory 221

  • Page 229:

    Yang-Mills theory 223

  • Page 231:

    Yangian 225

  • Page 233:

    Quantum spacetime 227

  • Page 235:

    Quantum spacetime 229

  • Page 237:

    Standard Model 231

  • Page 239:

    Standard Model 233

  • Page 241:

    Standard Model 235

  • Page 243:

    Standard Model 237

  • Page 245:

    Standard Model 239

  • Page 247:

    Standard Model 241

  • Page 249:

    Standard Model 243

  • Page 251:

    Topological quantum field theory 24

  • Page 253:

    Quantum Chromodynamics 247

  • Page 255:

    Quantum Chromodynamics 249

  • Page 257:

    Quantum Chromodynamics 251

  • Page 259:

    Quantum Chromodynamics 253

  • Page 261:

    Quantum Chromodynamics 255

  • Page 263:

    Loop Quantum Gravity 257

  • Page 265:

    Loop Quantum Gravity 259

  • Page 267:

    Loop Quantum Gravity 261

  • Page 269:

    Quantum Algebraic Topology 263

  • Page 271:

    Quantum Algebraic Topology 265

  • Page 273:

    Quantum Algebraic Topology 267

  • Page 275:

    Commutativity 269

  • Page 277:

    Commutativity 271

  • Page 279:

    Noncommutative quantum field theory

  • Page 281:

    Noncommutative standard model 275

  • Page 283:

    Nonabelian Gauge Theory 277

  • Page 285:

    Nonabelian Gauge Theory 279

  • Page 287:

    Nonabelian Gauge Theory 281

  • Page 289:

    Nonabelian Gauge Theory 283

  • Page 291:

    Nonabelian Gauge Theory 285

  • Page 293:

    Noncommutative geometry 287

  • Page 295:

    Noncommutative geometry 289

  • Page 297:

    Quantum gravity 291

  • Page 299:

    Quantum gravity 293

  • Page 301:

    Quantum gravity 295

  • Page 303:

    Quantum gravity 297

  • Page 305:

    Quantum gravity 299

  • Page 307:

    String Theories 301

  • Page 309:

    String Theories 303

  • Page 311:

    String Theories 305

  • Page 313:

    String Theories 307

  • Page 315:

    String Theories 309

  • Page 317:

    String Theories 311

  • Page 319:

    String Theories 313

  • Page 321:

    String Theories 315

  • Page 323:

    String Theories 317

  • Page 325:

    Superstring Theories 319

  • Page 327:

    Superstring Theories 321

  • Page 329:

    Superstring Theories 323

  • Page 331:

    Symmetry 325

  • Page 333:

    Symmetry 327

  • Page 335:

    Symmetry 329

  • Page 337:

    Symmetry 331

  • Page 339:

    Symmetry 333

  • Page 341:

    Symmetry 335

  • Page 343:

    Symmetry 337

  • Page 345:

    ''Representations'' 339

  • Page 347:

    Representations of the symmetric gr

  • Page 349:

    Representations of a finite group 3

  • Page 351:

    Representations of a finite group 3

  • Page 353:

    Representations of a finite group 3

  • Page 355:

    Representations of a finite group 3

  • Page 357:

    Representations of finite groups of

  • Page 359:

    Representations of finite groups of

  • Page 361:

    Representations of finite groups of

  • Page 363:

    Representations of Lie groups 357

  • Page 365:

    Representations of Lie algebras 359

  • Page 367:

    Representation theory of the Lorent

  • Page 369:

    Representation theory of the Lorent

  • Page 371:

    Double group 365

  • Page 373:

    Double group 367

  • Page 375:

    Double group 369

  • Page 377:

    Noether's Theorem 371

  • Page 379:

    Noether's Theorem 373

  • Page 381:

    Noether's Theorem 375

  • Page 383:

    Noether's Theorem 377

  • Page 385:

    Noether's Theorem 379

  • Page 387:

    Noether's Theorem 381

  • Page 389:

    Noether's Theorem 383

  • Page 391:

    Goldstone theorem 385

  • Page 393:

    Goldstone theorem 387

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    Stone-von Neumann theorem 389

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    Stone-von Neumann theorem 391

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    Peter-Weyl theorem 393

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    Supersymmetry 395

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    Supersymmetry 397

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    Supersymmetry 399

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    Invariance mechanics 401

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    Invariance mechanics 403

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    Wigner's theorem 405

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    Quantum magnetodynamics 407

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    Quantum magnetodynamics 409

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    Quantum magnetodynamics 411

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    Quantum magnetodynamics 413

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    Quantum magnetodynamics 415

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    Quantum magnetodynamics 417

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    Nonabelian group 419

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    Algebraic Topology 421

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    Algebraic Topology 423

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    Category Theory 425

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    Category Theory 427

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    Category Theory 429

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    Double Groupoid 431

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    Double Groupoid 433

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    Higher dimensional algebra 435

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    Higher dimensional algebra 437

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    Duality (mathematics) 439

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    Duality (mathematics) 441

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    Duality (mathematics) 443

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    Duality (mathematics) 445

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    Duality (mathematics) 447

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    Noncommutative geometry 449

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    Noncommutative geometry 451

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    Multi-valued logic 453

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    Quantum information 455

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    Quantum logic 457

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    Quantum logic 459

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    Quantum logic 461

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    Quantum logic 463

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    Quantum computer 465

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    Quantum computer 467

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    Quantum computer 469

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    Quantum computer 471

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    Boolean logic 473

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    Boolean logic 475

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    Boolean logic 477

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    Algebraic logic 479

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    Łukasiewicz logic 481

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    Intuitionistic logic 483

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    Intuitionistic logic 485

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    Intuitionistic logic 487

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    Mathematical logic 489

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    Mathematical logic 491

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    Mathematical logic 493

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    Mathematical logic 495

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    Mathematical logic 497

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    Mathematical logic 499

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    Heyting arithmetic 501

  • Page 509:

    Metatheory 503

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    Metalogic 505

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    Niels Bohr 507

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    Niels Bohr 509

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    Niels Bohr 511

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    Niels Bohr 513

  • Page 521:

    Max Planck 515

  • Page 523:

    Max Planck 517

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    Max Planck 519

  • Page 527:

    Max Planck 521

  • Page 529:

    Louis de Broglie 523

  • Page 531:

    Louis de Broglie 525

  • Page 533:

    The Lord Rutherford of Nelson 527

  • Page 535:

    The Lord Rutherford of Nelson 529

  • Page 537:

    The Lord Rutherford of Nelson 531

  • Page 539:

    Albert Einstein 533

  • Page 541:

    Albert Einstein 535

  • Page 543:

    Albert Einstein 537

  • Page 545:

    Albert Einstein 539

  • Page 547:

    Albert Einstein 541

  • Page 549:

    Albert Einstein 543

  • Page 551:

    Albert Einstein 545

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    Albert Einstein 547

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    Albert Einstein 549

  • Page 557:

    Albert Einstein 551

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    Albert Einstein 553

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    Albert Einstein 555

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    Albert Einstein 557

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    Albert Einstein 559

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    Albert Einstein 561

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    Erwin Schrödinger 563

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    Erwin Schrödinger 565

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    Erwin Schrödinger 567

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    John von Neumann 569

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    John von Neumann 571

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    John von Neumann 573

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    John von Neumann 575

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    John von Neumann 577

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    John von Neumann 579

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    John van Vleck 581

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    Paul Dirac 583

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    Paul Dirac 585

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    Paul Dirac 587

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    Paul Dirac 589

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    Paul Dirac 591

  • Page 599:

    Werner Heisenberg 593

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    Werner Heisenberg 595

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    Werner Heisenberg 597

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    Werner Heisenberg 599

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    Werner Heisenberg 601

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    Werner Heisenberg 603

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    Werner Heisenberg 605

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    Werner Heisenberg 607

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    Werner Heisenberg 609

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    Werner Heisenberg 611

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    Werner Heisenberg 613

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    Albert Einstein 615

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    Albert Einstein 617

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    Albert Einstein 619

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    Albert Einstein 621

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    Albert Einstein 623

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    Albert Einstein 625

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    Albert Einstein 627

  • Page 635:

    Albert Einstein 629

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    Albert Einstein 631

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    Albert Einstein 633

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    Albert Einstein 635

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    Albert Einstein 637

  • Page 645:

    Albert Einstein 639

  • Page 647:

    Albert Einstein 641

  • Page 649:

    Albert Einstein 643

  • Page 651:

    Max Born 645

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    Max Born 647

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    Max Born 649

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    Max Born 651

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    Max Born 653

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    Eugene Wigner 655

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    Eugene Wigner 657

  • Page 665:

    Eugene Wigner 659

  • Page 667:

    Alexandru Proca 661

  • Page 669:

    Hideki Yukawa 663

  • Page 671:

    Neville Mott 665

  • Page 673:

    Paul W. Anderson 667

  • Page 675:

    Paul W. Anderson 669

  • Page 677:

    George Karreman 671

  • Page 679:

    Richard Feynman 673

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    Richard Feynman 675

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    Richard Feynman 677

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    Richard Feynman 679

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    Richard Feynman 681

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    Richard Feynman 683

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    Richard Feynman 685

  • Page 693:

    Richard Feynman 687

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    Murray Gell-Mann 689

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    Murray Gell-Mann 691

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    Murray Gell-Mann 693

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    Stephen Weinberg 695

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    Stephen Weinberg 697

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    Anatole Abragam 699

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    Ştefan Procopiu 701

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    Ştefan Procopiu 703

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    Ionel Solomon 705

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    Article Sources and Contributors 70

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    Article Sources and Contributors 70

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    Article Sources and Contributors 71

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    Article Sources and Contributors 71

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    Article Sources and Contributors 71

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    Article Sources and Contributors 71

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    Article Sources and Contributors 71

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    Image Sources, Licenses and Contrib

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    Image Sources, Licenses and Contrib

comment j'explore... une pathologie pleurale ? - ResearchGate

comment j'explore... une pathologie pleurale ? - ResearchGate

Attaques de Prionyx thomae (Fabricius, 1775) - ResearchGate

Attaques de Prionyx thomae (Fabricius, 1775) - ResearchGate

View - ResearchGate

View - ResearchGate

View - ResearchGate

View - ResearchGate

Download this PDF file - Volumina Jurassica

Download this PDF file - Volumina Jurassica

Étude préliminaire des grands mammifères du repaire d'hyènes de ...

Étude préliminaire des grands mammifères du repaire d'hyènes de ...

Architectures de Composants Répartis - ResearchGate

Architectures de Composants Répartis - ResearchGate

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View - ResearchGate

View - ResearchGate

View - ResearchGate

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View - Sapienza

View - Sapienza

vivement - ResearchGate

vivement - ResearchGate

Blue vitriol poisoning: A 10-year experience in a ... - ResearchGate

Blue vitriol poisoning: A 10-year experience in a ... - ResearchGate

View - ResearchGate

View - ResearchGate

View - ResearchGate

View - ResearchGate

Hydrothermal faunal assemblages and habitat ... - ResearchGate

Hydrothermal faunal assemblages and habitat ... - ResearchGate

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View - ResearchGate

View - ResearchGate

View - ResearchGate

Modélisation, optimisation dynamique et ... - ResearchGate

Modélisation, optimisation dynamique et ... - ResearchGate

Culture technique et CAO par les machines anciennes

Culture technique et CAO par les machines anciennes

ATTEINTES PSYCHOLOGIQUES AU TRAVAIL : - ResearchGate

ATTEINTES PSYCHOLOGIQUES AU TRAVAIL : - ResearchGate

Arthropod community similarity in clonal stands of ... - ResearchGate

Arthropod community similarity in clonal stands of ... - ResearchGate

A Comparative Study of the Fractionation of Regular Buttermilk and ...

A Comparative Study of the Fractionation of Regular Buttermilk and ...

View - ResearchGate

View - ResearchGate

Molecular genetic variation across the southern and ... - ResearchGate

Molecular genetic variation across the southern and ... - ResearchGate

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View - ResearchGate

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Un protocole de tolérance aux pannes pour objets ... - ResearchGate

Un protocole de tolérance aux pannes pour objets ... - ResearchGate

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View - ResearchGate

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