FOUNDATIONS OF QUANTUM MECHANICS

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BIBLIOGRAPHY Albers, D.J., Alexanderson, G.L., Reid, C. (1990) More Mathematical People : Contemporary Conversations Boston: Harcourt Brace Jovanovich Araki, H., Yanase, M.M. (1960) ‘Measurement of Quantum Mechanical Operators’ Physical Review 120 (2) pp. 622-626 Aspect, A., Dalibard, J., Roger, G. (1982) ‘Experimental Test of Bell’s Inequalities Using Time - Varying Analyzers’ Physical Review Letters 49 (25) pp. 1804-1807 Belinfante, F.J. (1973) A Survey of Hidden - Variables Theories Oxford: Pergamon Press Bell, J.S. (1964) ‘On the Einstein Podolsky Rosen Paradox’ Physics 1 (3) pp. 195-200, repr. in Wheeler and Zurek (1983) Bell, J.S. (1966) ‘On the Problem of Hidden Variables in Quantum Mechanics’ Reviews of modern physics 38 pp. 447-452 Bell, J.S. (1971) ‘Introduction to the hidden - variables question’ In d’Espagnat (1971), repr. in Bell (1987) Bell, J.S. (1975) ‘The Theory of Local Beables’ Presented at the sixth GIFT Seminar, Jaca, 2 - 7 June 1975, repr. in Bell (1987) Bell, J.S. (1982) ‘On the impossible pilot wave’ Foundations of Physics 12 (10) pp. 989-999 Bell, J.S. (1987) Speakable and Unspeakable in Quantum Mechanics Cambridge: Cambridge University Press Bell, J.S. (1990) ‘Against measurement’ Physics World (August) pp. 33-40 Beltrametti, E.G., Cassinelli, G. (1981) The Logic of Quantum Mechanics Reading: Addison - Wesley Publishing Company Birkhoff, G., Von Neumann, J. (1936) ‘The Logic of Quantum Mechanics’ The Annals of Mathematics, Second Series 37 (4) pp. 823-843 Bohm, D.J. (1952) ‘A Suggested Interpretation of the Quantum Theory in Terms of “Hidden” Variables. I, II’ Physical Review 85 (2) pp. 166-179, pp. 180-193
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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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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 205 and 206: BIBLIOGRAPHY 203 Broglie, L.V.P.R.
Page 207 and 208: BIBLIOGRAPHY 205 Einstein, A. (1921
Page 209 and 210: BIBLIOGRAPHY 207 Heisenberg, W.K.,
Page 211 and 212: BIBLIOGRAPHY 209 Landau, H.J., Poll
Page 213 and 214: BIBLIOGRAPHY 211 Schmidt, E. (1907)
Page 215: BIBLIOGRAPHY 213 Wick, G.C., Wightm
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