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Table of Contents
Introduction 1
1 Short Review of Classical Canonical Formalism 9
I Basic Formalism and Extensions of Quantum Mechanics 13
2 Where the Problems Begin 17
3 Basic Quantum Mechanics 25
4 Relativistic Quantum Mechanics 67
5 Quantum Optics 79
II The Copenhagen Interpretation 95
6 First Interpretations of Quantum Mechanics 99
7 Uncertainty Principle 117
8 The Complementarity Principle 135
III First Foundations of Quantum Mechanics 151
9 QM Axiomatics 155
10 Hilbert Spaces and Operators 173
11 Classical and Quantum Probability: An Overview 191
12 Geometric Phase 203
IV Measurement Problem 211
13 Some Preliminary Notions 215
14 Von Neumann Theory and its Refinements 219
15 Many World Interpretation 245
16 Solutions using Classical or Semiclassical Apparata 253
17 Decoherence 263
18 Operational Stochastic QM 291
19 Non Demolition Measurement Theory 323
20 Information without Interaction 353
V Microphysics/Macrophysics 359
21 Decoherence and Thermodynamics 365
22 Quantum Jumps 393
23 Reductions to Classical Case 403
24 Generation of the Cat 413
VI Time and QM 429
25 Consistent and Decohering Histories 433
26 Delayed Choice 445
27 Reversibility and Irreversibility 457
VII Wave/Particle Dualism 467
28 The Reality of Quantum Waves and States 471
29 The Indeterminacy of Quantum Waves and States 505
30 Between Wave and Particle 513
VIII Completeness and Determinism 527
31 Einstein/Podolsky/Rosen Argument 531
32 Examination and Interpretation of Hidden Variable Theories 543
33 Stochastic Generalization 565
IX The Problem of Non-Locality 579
34 Initial Criticisms of the Einstein/Podolsky/Rosen Argument 583
35 Bell Inequalities 589
36 The Problem of Separability as such 621
37 More Exact Bounds for the Inequalities 643
38 Entanglement with Pure State and with Mixtures 651
39 Generalized Bell Inequalities 659
40 Bell Inequalities for other Observables 673
41 Other Non-Local Effects 687
X Information and Quantum Mechanics 705
42 Information and Entropy in Quantum Mechanics 709
43 Quantum Cryptography and Teleportation 743
44 Quantum Information and Computation 759
XI Conclusions 783
45 A Foundational Synthesis 787
46 Outline of an Interpretation of Quantum Mechanics 795
Bibliography 801
List of Symbols 933
List of Abbreviations 943
List of Corollaries, Definitions, Lemmas, Postulates, Principles, Propositions, and Theorems 945
List of Experiments 951
Index 954
Author Index 963
List of Figures 975
List of Tables 981