FOUNDATIONS OF QUANTUM MECHANICS

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208 BIBLIOGRAPHY Isham, C.J. (1995) Lectures on Quantum Theory : Mathematical and Structural Foundations River Edge: Imperial College Press Jacques, V., Wu, E., Grosshans, F., Treussart, F., Grangier, P., Aspect, A., Roch, J-F. (2007) ‘Experimental realization of Wheeler’s delayed - choice gedanken experiment’ Science 315 (5814) pp. 966-968 Jammer, M. (1974) The Philosophy of Quantum Mechanics : The Interpretations of Quantum Mechanics in Historical Perspective New York: John Wiley & Sons Jammer, M. (1990) ‘John Stewart Bell and His Work - On the Occasion of His Sixtieth Birthday’ Foundations of Physics 20 (10) pp. 1139-1145 Jammer, M., (1992) ‘John Stewart Bell and the Debate on the Significance of His Contributions to the Foundations of Quantum Mechanics’ In Merwe, A. van der, Selleri, F., Tarozzi, G. (eds) (1992) International Conference on Bell’s Theorem and the Foundations of Modern Physics Singapore: World Scientific Publishing Jarrett, J.P. (1984) ‘On the Physical Significance of the Locality Conditions in the Bell Arguments’ Noûs 18 (4) pp. 569-589 Jauch, J.M. (1968) Foundations of Quantum Mechanics Reading: Addison - Wesley Educational Publishers Kalckar, J. (ed) (1996) Niels Bohr - Collected Works : Volume 7 - Foundations of Quantum Physics II (1933 - 1958) Amsterdam: Elsevier Science Kampen, N.G. van (1988) ‘Ten Theorems about Quantum Mechanical Measurements’ Physica A 153 pp. 97-113 Kennard, E.H. (1927) ‘Zur Quantenmechanik einfacher Bewegungstypen’ Zeitschrift für Physik 44 (4/5) pp. 326-352 Kochen, S., Specker, E.P. (1967) ‘The Problem of Hidden Variables in Quantum Mechanics’ Journal of Mathematics and Mechanics 17 (1) pp. 59-87 Kochen, S. (1985) ‘A New Interpretation of Quantum Mechanics’ In Lahti, P.J., Mittelstaedt, P. (eds) (1985) Symposium on the foundations of modern physics 1985 : 50 years of the Einstein - Podolsky - Rosen Gedankenexperiment Singapore: World Scientific Publishing Company Krips, H. (1987) The Metaphysics of Quantum Theory Oxford: Clarendon Press Landau, L.D., Lifshitz, E.M. (1958) Quantum Mechanics : Non - Relativistic theory London: Pergamon Press
BIBLIOGRAPHY 209 Landau, H.J., Pollack, H.O. (1961) ‘Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II’ The Bell System Technical Journal 40 pp. 65-84 London, F., Bauer, E. (1939) La Théorie de l’Observation en Mécanique Quantique Paris: Hermann Eng. tr.: ‘The Theory of Observation in Quantum Mechanics’ In Wheeler and Zurek (1983) Lüders, G., (1951) ‘Über die Zustandsänderung durch den Meßprozeß’ Annalen der Physik 443 (5 - 8) pp. 322-328 Eng. tr.: Kirkpatrick, K.A. (transl) (2006) ‘Concerning the state - change due to the measurement process’ Annalen der Physik 15 (9) pp. 663-670 Maczynski, M.J. (1971) ‘Boolean Properties of Observables in Axiomatic Quantum Mechanics’ Reports on Mathematical Physics 2 (2) pp. 135-150 Mermin, N.D. (1993) ‘Hidden variables and the two theorems of John Bell’ Reviews of Modern Physics 65 (3) pp. 803-815 Meyer, D.A. (1999) ‘Finite precision measurement nullifies the Kochen - Specker theorem’ Physical Review Letters 83 pp. 3751-3754 Meyer, D.A. (2003) ‘Coloring, quantum mechanics, and Euclid’ Pdf file: math.ucsd.edu/ dmeyer/research/talks/cqmE.pdf Miller, A.I. (1990) (ed) Sixty - two Years of Uncertainty : Historical, Philosophical and Physical Inquiries into the Foundations of Quantum Mechanics New York: Plenum Press Miller, W.A., Wheeler, J.A. (1984) ‘Delayed - Choice Experiments and Bohr’s Elementary Quantum Phenomenon’ In Nakajima, S., Murayama, Y., Tonomura, A. (eds) (1996) Foundations of Quantum Mechanics in the Light of New Technology Singapore: World Scientific Publishing Muller, F.A. (1997a) ‘The Equivalence Myth of Quantum Mechanics–Part I’ Studies in History and Philosophy of Modern Physics 28 (1) pp. 35-61 (1997b) ‘Part II’ ibid. 28 (2) pp. 219-247 (1999) ‘(Addendum)’ ibid. 30 (4) pp. 543-545 Neumann, J. Von (1932) Mathematische Grundlagen der Quantenmechanik Berlin: Verlag von Julius Springer Eng. tr.: Beyer, R.T. (transl) (1955) The Mathematical Foundations of Quantum Mechanics Princeton: Princeton 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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VII. 5. STOCHASTIC HIDDEN VARIABLES
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Page 163 and 164: VII. 7. MISCELLANEA 161 Therefore,
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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 212 and 213: 210 BIBLIOGRAPHY Pauli, W.E. (1933)
Page 214 and 215: 212 BIBLIOGRAPHY Suppes, P., Zanott
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