FOUNDATIONS OF QUANTUM MECHANICS

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206 BIBLIOGRAPHY Frank, P.G. (1949) Modern Science and Its Philosophy Cambridge: Harvard University Press Freedman, S.J., Clauser, J.F. (1972) ‘Experimental Test of Local Hidden - Variable Theories’ Physical Review Letters 28 (14) pp. 938-941 Ghirardi, G.C., Rimini, A., Weber, T. (1980) ‘A General Argument against Superluminal Transmission through the Quantum Mechanical Measurement Process’ Lettere al Nuovo Cimento 27 (10) pp. 293-298 Ghirardi, G.C., Rimini, A., Weber, T. (1986) ‘Unified dynamics for microscopic and macroscopic systems’ Physical Review D 34 (2) pp. 470-491 Gleason A.M., (1957) ‘Measures on the Closed Subspaces of a Hilbert space’ Journal of Mathematics and Mechanics 6 pp. 885-893 Gottfried, K. (1989) ‘Does Quantum Mechanics describe the Collapse of the Wavefunction?’ Unpublished contribution to the 1989 Conference, International School of History of Science, Erice, Italy, 5 - 14 August Greenberger, D.M., Horne, M.A., Zeilinger, A. (1989) Going Beyond Bell’s Theorem In Kafatos, M.C. (ed) (1989) Bell’s Theorem, Quantum Theory and Conceptions of the Universe Dordrecht: Kluwer Academic Publishers http://arxiv.org/abs/0712.0921 Groenewold, H.J. (1946) ‘On the Principles of Elementary Quantum Mechanics’ Physica 12 (7) pp. 405-460 Haag, R. (1990) ‘Fundamental Irreversibility and the Concept of Events’ Communications in Mathematical Physics 132 pp. 245-251 Healey, R.A. (1989) The philosophy of quantum mechanics : An interactive interpretation Cambridge: Cambridge University Press Heisenberg, W. (1925) ‘Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen’ Zeitschrift für Physik 33 (1) pp. 879-893 Eng. tr.: ‘Quantum - theoretical re - interpretation of kinematic and mechanical relations’ In Van der Waerden, B.L. (1967) Heisenberg, W.K. (1927) ‘Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik’ Zeitschrift für Physik 43 (3/4) pp. 172-198 Eng. tr.: ‘The physical content of quantum kinematics and mechanics’ In Wheeler and Zurek (1983)
BIBLIOGRAPHY 207 Heisenberg, W.K., (1930) Die Physikalischen Prinzipien der Quantentheorie Leipzig: Verlag von S. Hirzel Eng. tr.: Eckart, C., Hoyt, F.C. (transl) (1930) The Physical Principles of Quantum Theory New York: Dover Publications Heisenberg, W. (1963) Niels Bohr Library and Archives Interview with Werner Heisenberg by T. S. Kuhn at the Max Planck Institute, Munich, Germany, February 25. Transcript Session VIII http://www.aip.org/history/ohilist/4661underscore8.html Heitler, W.H. (1970) Der Mensch und die naturwissenschaftliche Erkenntniss Braunschweig: Friedrich Vieweg & Sohn Verlagsgesellschaft Hey, T., Walters, P. (2003) The New Quantum Universe Cambridge: Cambridge University Press Hilgevoord, J., Uffink, J.B.M. (1988) ‘The mathematical expression of the uncertainty principle’ In Merwe, A. van der, Selleri, F., Tarozzi, G. (eds) (1988) Microphysical Reality and Quantum Formalism. Volume I Dordrecht: Kluwer Academic Publishers Hilgevoord, J., Uffink, J.B.M. (1990) ‘A new view on the uncertainty principle’ In Miller A.I. (ed) (1990) Sixty - Two years of Uncertainty : Historical, Philosophical and Physical Inquiries into the Foundations of Quantum Mechanics New York: Plenum Press Hilgevoord, J. (2002) ‘Time in quantum mechanics’ American Journal of Physics 70 (3) pp. 301-306 Holevo, A.S. (1982) Probabilistic and Statistical Aspects of Quantum Theory Amsterdam: North - Holland Publishing Company Holland, P.R. (1993) The Quantum Theory of Motion : An Account of the de Broglie - Bohm Causal Interpretation of Quantum Mechanics Cambridge: Cambridge University Press Home, D., Selleri, F. (1991) ‘Bell’s Theorem and the EPR Paradox’ La Rivista del Nuovo Cimento 14 (9) pp. 1-95 ’t Hooft, G. (1997) In search of the ultimate building blocks Cambridge: Cambridge University Press Hooker, C.A. (ed) (1975) The Logico - Algebraic Approach to Quantum Mechanics. Volume I: the Historical Evolution Dordrecht: D. Reidel Publishing Company Hughes, R.I.G. (1989) The Structure and Interpretation of Quantum Mechanics Cambridge: Harvard University 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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VII. 4. THE DERIVATION OF EBERHARD
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VII. 5. STOCHASTIC HIDDEN VARIABLES
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Page 163 and 164: VII. 7. MISCELLANEA 161 Therefore,
Page 165 and 166: VIII THE MEASUREMENT PROBLEM [. . .
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Page 183 and 184: VIII. 6. COMMENTS ON THE THEORY OF
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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 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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