FOUNDATIONS OF QUANTUM MECHANICS

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202 BIBLIOGRAPHY Bohm, D.J., Aharonov, Y. (1957) ‘Discussion of Experimental Proof for the Paradox of Einstein, Rosen, and Podolsky’ Physical Review 108 (4) pp. 1070-1076 Bohm, D.J. (1981) Wholeness and the implicate order London: Routledge & Kegan Paul Bohm, D.J., Peat, F.D. (1989) Science, order, and creativity London: Routledge Bohr, N.H.D. (1928) ‘The Quantum Postulate and the Recent Development of Atomic Theory’ Nature 121 (3050) pp. 580-590 Bohr, N.H.D. (1931) ‘Maxwell and Modern Theoretical Physics’ Nature 128 (3234) pp. 691-692 Bohr, N.H.D. (1934) Atomic Theory and the Description of Nature New York: The Macmillan Company Bohr, N.H.D. (1935a) ‘Quantum Mechanics and Physical Reality’ Nature 136 p. 65 Bohr, N.H.D. (1935b) ‘Can Quantum - Mechanical Description of Physical Reality Be Considered Complete?’ Physical Review 48 (8) pp. 696-702 Bohr, N.H.D. (1939) ‘The causality problem in atomic physics’ In Bohr, N.H.D. (1939) New Theories in Physics Paris: International Institute of Intellectual Co - operation Bohr, N.H.D. (1947) ‘Newton’s Principles and Modern Atomic Mechanics’ In The Royal Society of London (1947) Newton Tercentenary Celebrations. 15 - 19 July 1946 Cambridge: Cambridge University Press Bohr, N.H.D. (1949) ‘Discussion with Einstein on epistemological problems in atomic physics’ In Schilpp (1949), repr. in Wheeler and Zurek (1983) Bopp, F.A. (1947) ‘Quantenmechanische Statistik und Korrelationsrechnung’ Zeitschrift für Naturforschung A 2 pp. 202-216 Born, M., Jordan, P., (1925) ‘Zur Quantenmechanik’ Zeitschrift fur Physik 34 (1) pp. 858-888 Eng. tr. (abridged): ‘On Quantum mechanics’ In Van der Waerden (1967) Bródy F., Vámos, T. (eds) (1995) The Neumann Compendium Singapore: World Scientific Publishing Company
BIBLIOGRAPHY 203 Broglie, L.V.P.R. de (1928) ‘La nouvelle dynamique des quanta’ La Commission Administrative de l’Institut Internale de Physique Solvay (1928) Électrons et Photons: Rapports et Discussions du Cinquième Conseil de Physique tenu à Bruxelles du 24 au 29 Octobre 1927 sous les Auspices de l’Institut International de Physique Solvay Paris: Gauthier - Villars Eng. tr.: ’The new dynamics of quanta’ In Bacciagaluppi, G., Valentini, A. (2009) Quantum Theory at the Crossroads : Reconsidering the 1927 Solvay Conference Cambridge: Cambridge University Press Bub, J., Clifton, R.K. (1996) ‘A Uniqueness Theorem for ‘No Collapse’ Interpretations of Quantum Mechanics’ Studies in the History and Philosophy of Modern Physics B 27 (2) pp. 181-219 Bub, J., Clifton, R.K., Goldstein, S. (2000) ‘Revised Proof of the Uniqueness Theorem for ‘No Collapse’ Interpretations of Quantum Mechanics’ Studies in the History and Philosophy of Modern Physics B 31 pp. 95-98 Bub, J. (1997) Interpreting the Quantum World Cambridge: Cambridge University Press Busch, P.S., Grabowski, M.P., and Lahti, P.J. (1995) Operational Quantum physics Berlin: Springer - Verlag Busch, P., Lahti, P.J., Mittelstaedt, P. (1991) The Quantum Theory of Measurement Berlin: Springer - Verlag Capasso, V., Fortunato, D., Selleri, F. (1973)‘Sensitive Observables of Quantum Mechanics’ International Journal of Theoretical Physics 7 (5) pp. 319-326 Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A. (1969) ‘Proposed Experiment to test Local Hidden - Variable Theories’ Physical Review Letters 23 (15) pp. 880-884 Clifton, R.K., Butterfield, J.N., Redhead, M.L.G. (1990) ‘Nonlocal Influences and Possible Worlds – A Stapp in the Wrong Direction’ British Journal for the Philosophy of Science 41 (1) pp. 5-58 Condon, E.U. (1929) ‘Remarks on uncertainty principles’ Science 69 pp. 573-574 Cooke, R.M, Hilgevoord, J. (1979) ‘Correspondence, Equivalence and Completeness’ Epistemological Letters (March) pp. 42-54 Cooke, R.M., Keane, M.S., Moran, W. (1985) ‘An elementary proof of Gleason’s theorem’ Mathematical Proceedings of the Cambridge Philosophical Society 98 pp. 117-128 Cushing, J.T. (1994) Quantum Mechanics : Historical Contingency and the Copenhagen Hegemony Chicago: The University of Chicago Press
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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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Page 163 and 164: VII. 7. MISCELLANEA 161 Therefore,
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Page 169 and 170: VIII. 3. MEASUREMENT ACCORDING TO Q
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Page 187 and 188: A. 2. CONVERSION TO A 3 - DIMENSION
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Page 199 and 200: A. 4. AN ANALYTIC LEMMA 197 To prov
Page 201: WORKS CONSULTED Most subjects in th
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 212 and 213: 210 BIBLIOGRAPHY Pauli, W.E. (1933)
Page 214 and 215: 212 BIBLIOGRAPHY Suppes, P., Zanott
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FOUNDATIONS OF QUANTUM MECHANICS

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