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Do We Really Understand Quantum Mechanics?
Gives an overview of the quantum theory and its main interpretations. Ideal for researchers in physics and mathematics.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; DO WE REALLY UNDERSTAND QUANTUM MECHANICS?; Title; Copyright; Contents; Foreword; Preface; Acknowledgments; 1 Historical perspective; 1.1 Three periods; 1.1.1 Prehistory; 1.1.2 The undulatory period; 1.1.3 Emergence of the Copenhagen interpretation; 1.2 The state vector; 1.2.1 Definition, Schrödinger evolution, Born rule; 1.2.1.a Definition; 1.2.1.b Schrödinger evolution; 1.2.1.c Born probability rule; 1.2.2 Measurement processes; 1.2.2.a Von Neumann, reduction (collapse); 1.2.2.b Bohr; 1.2.3 Status; 1.2.3.a Two extremes; 1.2.3.b The Copenhagen (orthodox) point of view.
- 2 Present situation, remaining conceptual difficulties2.1 Von Neumann's infinite regress/chain; 2.2 Schrödinger's cat; 2.2.1 The argument; 2.2.2 Misconceptions; 2.2.3 Modern cats; 2.3 Wigner's friend; 2.4 Negative and "interaction-free" measurements; 2.5 A variety of points of view; Copenhagen interpretation:; Critics of the Copenhagen interpretation:; More recent comments:; Present situation:; 2.6 Unconvincing arguments; 3 The theorem of Einstein, Podolsky, and Rosen; 3.1 A theorem; 3.2 Of peas, pods, and genes; 3.2.1 Simple experiments: no conclusion yet; 3.2.2 Correlations: causes unveiled.
- 3.2.2.a Same measurement parameters3.2.2.b Different measurements parameters; 3.2.2.c Summary; 3.3 Transposition to physics; 3.3.1 The EPR argument for two correlated microscopic particles; 3.3.1.a Assumptions; 3.3.1.b Conclusions; 3.3.2 Bohr's reply; 3.3.3 Locality and separability; 3.3.3.a Various aspects of locality; 3.3.3.b Quantum non-separability; 3.3.4 The EPR argument for macroscopic systems; 4 Bell theorem; 4.1 Bell inequalities; 4.1.1 Quantum mechanics: two spins in a singlet state; 4.1.2 Local realism: proof of the BCHSH inequality; 4.1.3 Contradiction with quantum mechanics.
- 4.1.4 Logical content4.1.5 Contradiction with experiments; 4.2 Various forms of the theorem; 4.2.1 Other inequalities; 4.2.1.a Bell 1964; 4.2.1.b Wigner inequalities; 4.2.1.c Mermin inequality; 4.2.2 Other sets of assumptions; 4.2.3 Generalizations of the theorem, role of locality; 4.2.4 Status of the theorem; attempts to bypass it; 4.3 Cirelson's theorem; 4.3.1 Measurements on two-level sub-systems; 4.3.2 Maximal quantum violation; 4.4 No instantaneous signaling; 4.4.1 Non-signaling (NS) conditions; 4.4.2 Logical boxes; 4.4.2.a Deterministic boxes; 4.4.2.b Stochastic boxes.
- 4.4.2.c Local stochastic boxes4.4.3 Popescu-Rohrlich boxes; 4.4.4 How to characterize quantum mechanics?; 4.5 Impact of the theorem: where do we stand now?; 4.5.1 Loopholes, conspiracies; 4.5.1.a Pair selection loophole (efficiency loophole); 4.5.1.b Conspiracy (or communication) loophole; 4.5.1.c Fatalism versus free will; 4.5.1.d Credibility of loopholes; 4.5.2 Is quantum mechanics itself non-local? Counterfactuality; 5 More theorems; 5.1 GHZ contradiction; 5.1.1 Derivation; 5.1.2 Discussion; 5.2 Generalizing GHZ (all or nothing states); 5.3 Cabello's inequality.