FOUNDATIONS OF QUANTUM MECHANICS

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204 BIBLIOGRAPHY Daneri, A., Loinger, A., Prosperi, G.M. (1962) ‘Quantum Theory of Measurement and Ergodicity Conditions’ Nuclear Physics 33 (1962) pp. 297-319 De Muynck, W.M. (1986) ‘The Bell Inequalities and their Irrelevance to the Problem of Locality in Quantum Mechanics’ Physics Letters A 114 (2) pp. 65-67 De Muynck, W.M. (1996) ‘Can We Escape from Bell’s Conclusion that Quantum Mechanics Describes a Non - Local Reality?’ Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (3) pp. 315-330 DeWitt, B.S. (1970) ‘Quantum mechanics and reality’ Physics Today 23 (9) pp. 30-40 DeWitt, B.S. (1971) ‘The Many - Universes Interpretation of Quantum Mechanics’ In d’Espagnat (1971), repr. in DeWitt and Graham (1973) DeWitt, B.S., Graham, R.N. (eds) (1973) The Many - Worlds Interpretation of Quantum Mechanics Princeton: Princeton University Press Dickson W.M. (1998) Quantum Chance and Non - locality : Probability and Non - locality in the Interpretations of Quantum Mechanics Cambridge: Cambridge University Press Dieks, D.G.B.J. (1983) ‘Stochastic Locality and Conservation Laws’ Lettere al Nuovo Cimento 38 (13) pp. 443-447 Dieks, D.G.B.J. (1989) ‘Resolution of the Measurement Problem through Decoherence of the Quantum State’ Physics Letters A 142 (8,9) pp. 439-446 Dieks, D.G.B.J. and Vermaas, P.E. (eds) (1998) The Modal Interpretation of Quantum Mechanics Dordrecht: Kluwer Academic Publishers Dirac, P.A.M., (1925) ‘The Fundamental Equations of Quantum Mechanics’ Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character 109 (752) pp. 642-653 Dirac, P.A.M. (1958) The Principles of Quantum Mechanics Oxford: at the Clarendon Press Dirac, P.A.M. (1963) ‘The Evolution of the Physicist’s Picture of Nature’ Scientific American 208 (5) pp. 45-53 Eberhard, P.H. (1977) ‘Bell’s Theorem without Hidden Variables’ Il Nuovo Cimento B 38 (1) pp. 75-80
BIBLIOGRAPHY 205 Einstein, A. (1921) ‘Geometrie und Erfahrung’ Sitzungsberichte der Preussischen Akademie der Wissenschaften pp. 123-130 Eng. tr.: Bargmann, S. (transl) ‘Geometry and Experience’ In Janssen, M., Schulmann, R., Illy, J., Lehner, C., Buchwald, D. (eds) (2002) The Collected Papers of Albert Einstein, Volume 7 : The Berlin Years: Writings, 1918 - 1921 Princeton: Princeton University Press Einstein, A. (1934) Mein Weltbild Amsterdam: Querido Verlag Eng. tr.: Bargmann, S. (transl), Seelig, C. (ed) (1954) Ideas and opinions New York: Bonanza Books Einstein, A., Podolsky, B., Rosen, N. (1935) ‘Can Quantum - Mechanical Description of Physical Reality Be Considered Complete?’ Physical Review 47 (10) pp. 777-780 Einstein, A., Born, M., Born, H. (1971) The Born - Einstein letters : correspondence between Albert Einstein and Max and Hedwig Born from 1916 to 1955 with commentaries by Max Born London: The Macmillan Press Espagnat, B. d’ (ed) (1971) Foundations of Quantum Mechanics : Proceedings of the International School of Physics ”Enrico Fermi”, held at Varenna, 29th June-11th July, 1970, Course IL New York: Academic Press Espagnat, B. d’ (1989) Conceptual Foundations Of Quantum Mechanics New York: Perseus Books Everett, H. III (1957) ‘The Theory of the Universal Wave Function’ In DeWitt and Graham (1973) Everett, H. III (1957) “‘Relative State” Formulation of Quantum Mechanics’ Reviews of Modern Physics 29 (3) pp. 454-462 Fine, A.I. (1982) ‘Hidden Variables, Joint Probability, and the Bell Inequalities’ Physical Review Letters 48 (5) pp. 291-295 Fine, A. (1986) The shaky game : Einstein, realism and the quantum theory Chicago: University of Chicago Press Folse, H.J. (1985) The philosophy of Niels Bohr : the framework of complimentarity Amsterdam: North - Holland Physics Publishing Fraassen, B.C. van (1973) ‘Semantic Analysis of Quantum Logic’ In Hooker, C.A. (ed) (1973) Contemporary Research in the Foundations and Philosophy of Quantum Theory Dordrecht: D. Reidel Publishing Company Fraassen, B.C. van (1979) ‘Hidden Variables and the Modal Interpretation of Quantum Theory’ Synthese 42 (1) pp. 155-165
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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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Page 201: WORKS CONSULTED Most subjects in th
Page 204 and 205: 202 BIBLIOGRAPHY Bohm, D.J., Aharon
Page 208 and 209: 206 BIBLIOGRAPHY Frank, P.G. (1949)
Page 210 and 211: 208 BIBLIOGRAPHY Isham, C.J. (1995)
Page 212 and 213: 210 BIBLIOGRAPHY Pauli, W.E. (1933)
Page 214 and 215: 212 BIBLIOGRAPHY Suppes, P., Zanott
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