Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Contents XI<br />
6 Radiative Transitions ......................................157<br />
6.1 ReviewofClassicalElectromagnetism......................157<br />
6.1.1 ElectromagneticPotentials .........................157<br />
6.1.2 ElectromagneticPlaneWaves .......................159<br />
6.2 QuantizedElectromagneticField ..........................160<br />
6.2.1 Eigenstates of Ni ..................................161<br />
6.2.2 InteractionHamiltonian............................162<br />
6.2.3 Time-DependentPerturbation<strong>Theory</strong> ...............163<br />
6.2.4 TransitionMatrixElements.........................164<br />
6.2.5 GaugeInvariance .................................168<br />
6.2.6 Electric-DipoleTransitions .........................169<br />
6.2.7 Magnetic-Dipole and Electric-Quadrupole Transitions . . 175<br />
6.2.8 Nonrelativistic Many-Body Amplitudes . . . ...........182<br />
6.3 <strong>Theory</strong>ofMultipoleTransitions...........................185<br />
Problems ...................................................192<br />
7 Introduction to MBPT ....................................195<br />
7.1 Closed-ShellAtoms ......................................197<br />
7.1.1 AngularMomentumReduction .....................199<br />
7.1.2 Example:Second-OrderEnergyinHelium ............202<br />
7.2 B-SplineBasisSets ......................................203<br />
7.2.1 Hartree-FockEquationandB-splines ................206<br />
7.2.2 B-splineBasisfortheDiracEquation ................207<br />
7.2.3 Application:HeliumCorrelationEnergy..............208<br />
7.3 AtomswithOneValenceElectron .........................209<br />
7.3.1 Second-OrderEnergy ..............................210<br />
7.3.2 AngularMomentumDecomposition..................211<br />
7.3.3 Quasi-ParticleEquationandBruecknerOrbitals.......212<br />
7.3.4 Monovalent Negative Ions . .........................214<br />
7.4 Relativistic Calculations ..................................216<br />
7.4.1 BreitInteraction ..................................217<br />
7.4.2 AngularReductionoftheBreitInteraction ...........218<br />
7.4.3 Coulomb-BreitMany-ElectronHamiltonian...........221<br />
7.4.4 Closed-ShellEnergies ..............................221<br />
7.4.5 OneValenceElectron ..............................223<br />
7.5 CICalculations .........................................224<br />
7.5.1 Relativistic CI Calculations .........................226<br />
7.6 MBPTforDivalentAtomsandIons .......................227<br />
7.6.1 Two-ParticleModelSpaces .........................227<br />
7.6.2 First-OrderPerturbation<strong>Theory</strong> ....................230<br />
7.7 Second-OrderPerturbation<strong>Theory</strong> ........................231<br />
7.7.1 AngularMomentumReduction......................233<br />
Problems ...................................................234
Change language