FOUNDATIONS OF QUANTUM MECHANICS

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210 BIBLIOGRAPHY Pauli, W.E. (1933) Die allgemeinen Prinzipien der Wellenmechanik Berlin: Verlag von Julius Springer Eng. tr.: (1950) The General principles of wave mechanics Urbana - Champaign: University of Illinois Press Penrose, R. (1996) ‘On Gravity’s Role in Quantum State Reduction’ General Relativity and Gravitation 28 (5) pp. 581-600 Peres, A. (1993) Quantum Theory: Concepts and Methods Dordrecht: Kluwer Academic Publishers Petersen, A. (1963) ‘The Philosophy of Niels Bohr’ Bulletin of the Atomic Scientists 19 (7) pp. 8-14 Petersen, A. (1968) Quantum Physics and the Philosophical Tradition Cambridge: M.I.T. Press Piron, C. (1976) Foundations of Quantum Physics Reading: W.A. Benjamin Prugovečki, E. (2006) Quantum Mechanics in Hilbert Space Mineola: Dover Publications Przibram, K. (ed) (1963) Briefe zur Wellenmechanik : Schrödinger, Planck, Einstein, Lorentz Wien: Springer - Verlag Eng. tr.: Przibram, K. (ed) (1963) Letters on wave mechanics : Schrödinger, Planck, Einstein, Lorentz New York: Philosophical Library Rauch, H., Werner, S.A. (2000) Neutron Interferometry : Lessons in Experimental Quantum Mechanics Oxford: Oxford University Press Redhead, M.L.G. (1987) Incompleteness, Nonlocality and Realism : A Prolegomenon to the Philosophy of Quantum Mechanics Oxford: Clarendon Press Robertson, H.P. (1929) ‘The Uncertainty Principle’ Physical Review 34 p. 163 Scheibe, E., Sykes, J.B., (transl) (1973) The Logical Analysis of Quantum Mechanics Oxford: Pergamon Press Schiff, L.I. (1949) Quantum Mechanics New York: McGraw - Hill Schilpp, P.A. (ed) (1949) Albert Einstein : Philosopher - Scientist Evanston: The Library of Living Philosophers
BIBLIOGRAPHY 211 Schmidt, E. (1907) ‘Zur Theorie der linearen und nichtlinearen Integralgleichungen. I. Teil’ Mathematische Annalen 63 pp. 433-476 (1907) ‘Zweite Abhandlung’ ibid. 64 pp. 161-174 (1907) ‘III. Teil’ ibid. 65 pp. 370-399 Schrödinger, E.R.J.A. (1926) ‘An Undulatory Theory of the Mechanics of Atoms and Molecules’ The Physical Review 28 (6) pp. 1049-1070 Schrödinger, E.R.J.A. (1930) ‘Zum Heisenbergschen Unschärfeprinzip’ Sitzungsberichte der Preußischen Akademie der Wissenschaften. Physikalisch - mathematische Klasse pp. 296-303 Schrödinger, E.R.J.A. (1935a) ‘Discussion of Probability Relations between Separated Systems’ Mathematical Proceedings of the Cambridge Philosophical Society 31 (4) pp. 555-563 Schrödinger, E.R.J.A. (1935b) ‘Die gegenwärtige Situation in der Quantenmechanik’ Naturwissenschaften 23 (48) pp. 807-812, (49) pp. 823-828, (50) pp. 844-849 Eng. tr.: Trimmer, J.D. (transl) (1980) ‘The Present Situation in Quantum Mechanics: A Translation of Schrödinger’s “Cat Paradox”’ Proceedings of the American Philosophical Society 124 (5) pp. 323-338 Repr. in Wheeler and Zurek (1983) Shimony, A. (1984) ‘Controllable and Uncontrollable Non - Locality’ In Kamefuchi, S., et al. (eds) Proceedings of the International Symposium : Foundations of Quantum Mechanics in the Light of New Technology Tokyo: Physical Society of Japan Shimony, A. (1989) ‘Search for a Worldview Which Can Accommodate Our Knowledge of Microphysics’ In Cushing, J.T., McMullin, E. (eds) Philosophical Consequences of Quantum Theory : Reflections on Bell’s Theorem Notre Dame: University of Notre Dame Press Shimony, A. (1995) ‘Degree of entanglement’ In Greenberger, D.M., Zeilinger, A. (eds) Fundamental Problems in Quantum Theory : In Honor of Professor John A. Wheeler New York: New York Academy of Sciences Stapp, H.P. (1975) ‘Bell’s Theorem and World Process’ Il Nuovo Cimento B 29 (2) pp. 270-276 Stapp, H.P. (1977) ‘Are Superluminal Connections Necessary?’ Il Nuovo Cimento B 40 (1) pp. 191-205 Stone, M.H. (1932) ‘On One - Parameter Unitary Groups in Hilbert Space’ The Annals of Mathematics, Second Series 33 (3) pp. 643-648
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FOUNDATIONS OF QUANTUM MECHANICS JO
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CONTENTS I CONCEPTUAL PROBLEMS 7 I.
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VI BOHMIAN MECHANICS 127 VI. 1 Intr
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LIST OF FIGURES III. 1 A discontinu
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I CONCEPTUAL PROBLEMS Anyone who is
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I. 1. INTRODUCTION 9 of affairs. [.
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I. 2. INCOMPLETENESS AND LOCALITY 1
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II THE FORMALISM As far as the laws
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II. 1. FINITE - DIMENSIONAL HILBERT
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II. 2. OPERATORS 21 representation
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II. 2. OPERATORS 23 An example of a
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II. 3. EIGENVALUE PROBLEM AND SPECT
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II. 4. FUNCTIONS OF NORMAL OPERATOR
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II. 4. FUNCTIONS OF NORMAL OPERATOR
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II. 5. DIRECT SUM AND DIRECT PRODUC
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II. 5. DIRECT SUM AND DIRECT PRODUC
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II. 6. ADDENDUM: INFINITE - DIMENSI
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II. 6. ADDENDUM: INFINITE - DIMENSI
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The angular momentum operator II. 6
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III THE POSTULATES The sciences do
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III. 1. VON NEUMANN’S POSTULATES
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III. 2. PURE AND MIXED STATES 45 Ad
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III. 2. PURE AND MIXED STATES 47 Ea
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III. 2. PURE AND MIXED STATES 49 Th
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III. 3. THE INTERPRETATION OF MIXED
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ut the probability to find the syst
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III. 4. COMPOSITE SYSTEMS 55 Proof
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III. 4. COMPOSITE SYSTEMS 57 With (
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III. 4. COMPOSITE SYSTEMS 59 ◃ Re
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Now consider an operator W of the f
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III. 5. PROPER AND IMPROPER MIXTURE
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III. 6. SPIN 1/2 PARTICLES 65 In th
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III. 6. SPIN 1/2 PARTICLES 67 we ha
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III. 6. SPIN 1/2 PARTICLES 69 and w
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III. 6. SPIN 1/2 PARTICLES 71 EXERC
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III. 6. SPIN 1/2 PARTICLES 73 The t
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III. 6. SPIN 1/2 PARTICLES 75 We ar
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IV THE COPENHAGEN INTERPRETATION It
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IV. 1. HEISENBERG AND THE UNCERTAIN
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IV. 1. HEISENBERG AND THE UNCERTAIN
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IV. 2. BOHR AND COMPLEMENTARITY 83
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IV. 3. DEBATE BETWEEN EINSTEIN EN B
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IV. 3. DEBATE BETWEEN EINSTEIN EN B
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IV. 4. NEUTRON INTERFEROMETRY 93 If
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IV. 4. NEUTRON INTERFEROMETRY 95 al
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IV. 5. THE UNCERTAINTY RELATIONS 97
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V HIDDEN VARIABLES While we have th
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V. 2. NON - CONTEXTUAL HIDDEN VARIA
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V. 2. NON - CONTEXTUAL HIDDEN VARIA
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V. 3 KOCHEN AND SPECKER’S THEOREM
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V. 3. KOCHEN AND SPECKER’S THEORE
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V. 3. KOCHEN AND SPECKER’S THEORE
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V. 4. CONTEXTUAL HIDDEN VARIABLES 1
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128 CHAPTER VI. BOHMIAN MECHANICS s
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130 CHAPTER VI. BOHMIAN MECHANICS E
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132 CHAPTER VI. BOHMIAN MECHANICS W
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134 CHAPTER VI. BOHMIAN MECHANICS
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136 CHAPTER VI. BOHMIAN MECHANICS B
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VII BELL’S INEQUALITIES There is
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VII. 1. LOCAL DETERMINISTIC HIDDEN
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VII. 1. LOCAL DETERMINISTIC HIDDEN
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VII. 2. LOCAL DETERMINISTIC CONTEXT
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dµ A(⃗a, λ, µ) dν B( ⃗ b,
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Likewise we calculate the following
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VII. 4. THE DERIVATION OF EBERHARD
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VII. 5. STOCHASTIC HIDDEN VARIABLES
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Page 201: WORKS CONSULTED Most subjects in th
Page 204 and 205: 202 BIBLIOGRAPHY Bohm, D.J., Aharon
Page 206 and 207: 204 BIBLIOGRAPHY Daneri, A., Loinge
Page 208 and 209: 206 BIBLIOGRAPHY Frank, P.G. (1949)
Page 210 and 211: 208 BIBLIOGRAPHY Isham, C.J. (1995)
Page 214 and 215: 212 BIBLIOGRAPHY Suppes, P., Zanott
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FOUNDATIONS OF QUANTUM MECHANICS

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