FOUNDATIONS OF QUANTUM MECHANICS

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212 BIBLIOGRAPHY Suppes, P., Zanotti, M. (1976) ‘On the Determinism of Hidden Variable Theories with Strict Correlation and Conditional Statistical Independence of Observables’ In Suppes, P. (ed) Logic and Probability in Quantum Mechanics Dordrecht: D. Reidel Publishing Company Svetlichny, G., Redhead, M.L.G., Brown, H.R., Butterfield, J. (1988) ‘Do the Bell Inequalities Require the Existence of Joint Probability Distributions?’ Philosophy of Science 55 (3) pp. 387-401 Tkadlec, J. (2000) ‘Diagrams of Kochen - Specker Type Constructions’ International Journal of Theoretical Physics 39 (3) pp. 921-926 Uffink, J.B.M., Hilgevoord, J. (1985) ‘Uncertainty Principle and Uncertainty Relations’ Foundations of Physics 15 (9) pp. 925-944 Uffink, J.B.M., Hilgevoord, J. (1988) ‘Interference and Distinguishability in Quantum Mechanics’ Physica B 151 pp. 309-313 Uffink, J.B.M. (1990) Measures of Uncertainty and the Uncertainty Principle Utrecht: Rijksuniversiteit te Utrecht, Dissertation Vermaas, P.E., Dieks, D.G.B.J. (1995) ‘The Modal Interpretation of Quantum Mechanics and its Generalization to Density Operators’ Foundations of Physics 25 (1) pp. 145-158 Vermaas, P.E. (1999) A Philosopher’s Understanding of Quantum Mechanics : Possibilities and Impossibilities of a Modal Interpretation Cambridge: Cambridge University Press Vigier, J.-P., Dewdney, C., Holland, P.R., Kyprianidis, A. (1987) ‘Causal particle trajectories and the interpretation of quantum mechanics’ In Hiley, B.J., Peat, F.D. (eds) (1987) Quantum implications : essays in honour of David Bohm London: Routledge & Kegan Paul Waerden, B.L. Van der (ed) (1967) Sources of Quantum mechanics Amsterdam: North - Holland Publishing Company Weihs, G., Jennewein, T., Simon, C., Weinfurter, H., Zeilinger, A. (1998) ‘Violation of Bell’s Inequality under Strict Einstein Locality Conditions’ Physical Review Letters 81 (23) pp. 5039-5043 Wheatley, M.J. (2001) Leadership and the New Science : Discovering Order in a Chaotic World San Francisco: Berrett - Koehler Publishers Wheeler, J.A. (1957) ‘Assessment of Everett’s “Relative State” Formulation of Quantum Theory’ Reviews of Modern Physics 29 (3) pp. 463-465 Wheeler, J.A., Zurek, W.H. (eds) (1983) Quantum Theory and Measurement Princeton: Princeton University Press
BIBLIOGRAPHY 213 Wick, G.C., Wightman, A.S., Wigner E.P. (1952)‘The Intrinsic Parity of Elementary Particles’ Physical Review 88 (1) pp. 101-105 Wigner, E.P. (1952) ‘Die Messung quantenmechanischer Operatoren’ Zeitschrift für Physik 133 pp. 101-108 Wigner, E.P. ‘Remarks on the mind - body question’ In Good, I.J. (1962) The scientist speculates : an anthology of partly - baked ideas London: Heinemann Repr in Wheeler and Zurek (1983) Wigner, E.P. (1963) ‘The problem of measurement’ American Journal of Physics 31 (6) pp. 6-15 Wigner, E.P. (1970) ‘On Hidden Variables and Quantum Mechanical Probabilities’ Americal Journal of Physics 38 (8) pp. 1005-1009 Wigner, E.P. (1983) ‘Interpretation of Quantum Mechanics’ In Wheeler and Zurek (1983) Zukav, G. (1984) The Dancing Wu Li Masters : An Overview of the New Physics New York: Bantam Books Zurek, W.H. (1981) ‘Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?’ Physical Review D 24 (6) pp. 1516-1525 Zurek, W.H. (1982) ‘Environment - induced superselection rules’ Physical Review D 26 (8) pp. 1862-1880
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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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VII. 6. AN ALGEBRAIC PROOF WITHOUT
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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 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 212 and 213: 210 BIBLIOGRAPHY Pauli, W.E. (1933)
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