|
1 Theory of the Decoherence Effect in Finite and Infinite Open Quantum Systems Using the Algebraic Approach |
|
|
|
|
|
|
|
|
1 | (2) |
|
1.2 Algebraic Framework and Open Systems |
|
|
3 | (5) |
|
|
8 | (5) |
|
1.4 Some General Results About Decoherence |
|
|
13 | (4) |
|
|
17 | (16) |
|
|
31 | (2) |
|
2 Quantum Systems and Resolvent Algebras |
|
|
33 | (14) |
|
|
|
|
33 | (2) |
|
2.2 Definitions and Basic Facts |
|
|
35 | (2) |
|
|
37 | (2) |
|
2.4 Observables and Dynamics |
|
|
39 | (4) |
|
|
43 | (4) |
|
|
44 | (3) |
|
3 What the Philosophical Interpretation of Quantum Theory Can Accomplish |
|
|
47 | (18) |
|
|
3.1 Introduction: What Philosophy Can Do for Science |
|
|
47 | (1) |
|
3.2 Traditional Puzzles and Positions in Quantum Philosophy |
|
|
48 | (4) |
|
3.3 Entanglement and the EPR-Correlations |
|
|
52 | (3) |
|
3.4 Puzzling Features of Entanglement |
|
|
55 | (2) |
|
3.5 Quantum Measurement and Decoherence |
|
|
57 | (4) |
|
3.6 What the Philosophical Interpretation of Quantum Theory Can Accomplish |
|
|
61 | (4) |
|
|
62 | (3) |
|
4 On the Sufficiency of the Wavefunction |
|
|
65 | (30) |
|
|
|
|
65 | (1) |
|
4.2 Overview of the Main Claims |
|
|
66 | (2) |
|
|
68 | (3) |
|
|
71 | (2) |
|
4.5 Bipartite Measurement Scenario |
|
|
73 | (4) |
|
4.6 Free Choice and Local Causality |
|
|
77 | (2) |
|
|
79 | (2) |
|
4.8 Proof of the Basic Claims |
|
|
81 | (4) |
|
|
85 | (4) |
|
|
89 | (6) |
|
|
92 | (3) |
|
5 The Role of the Probability Current for Time Measurements |
|
|
95 | (18) |
|
|
|
|
95 | (1) |
|
5.2 What is a Measurement? |
|
|
96 | (4) |
|
|
100 | (3) |
|
|
103 | (4) |
|
5.5 When Will the Detector Click? |
|
|
107 | (6) |
|
Appendix: Example of Backflow |
|
|
109 | (2) |
|
|
111 | (2) |
|
6 Quantum Field Theory on Curved Spacetime and the Standard Cosmological Model |
|
|
113 | (18) |
|
|
|
|
113 | (2) |
|
6.2 The Free Scalar Field and Its Normal Ordered Products |
|
|
115 | (4) |
|
6.3 The Standard Cosmological Model in Quantum Field Theory on Curved Spacetimes |
|
|
119 | (12) |
|
|
127 | (4) |
|
7 Quantum Probability Theory and the Foundations of Quantum Mechanics |
|
|
131 | (64) |
|
|
|
7.1 A Glimpse of Quantum Probability Theory and of a Quantum Theory of Experiments |
|
|
131 | (11) |
|
7.2 Models of Physical Systems |
|
|
142 | (12) |
|
7.3 Classical ("Realistic") Models of Physical Systems |
|
|
154 | (4) |
|
7.4 Physical Systems in Quantum Mechanics |
|
|
158 | (10) |
|
7.5 Removing the Veil: Empirical Properties of Physical Systems in Quantum Mechanics |
|
|
168 | (27) |
|
|
190 | (5) |
|
8 Can Relativity be Considered Complete? From Newtonian Nonlocality to Quantum Nonlocality and Beyond |
|
|
195 | (24) |
|
|
|
195 | (1) |
|
8.2 Non-locality According to Newton |
|
|
195 | (1) |
|
8.3 Einstein, the Greatest Mechanical Engineer |
|
|
196 | (1) |
|
8.4 Quantum Mechanics Is Not Mechanical |
|
|
197 | (1) |
|
8.5 Non-locality According to Einstein |
|
|
197 | (1) |
|
8.6 Quantum Exams: Entanglement |
|
|
198 | (4) |
|
8.7 Coin Tossing at a Distance |
|
|
202 | (2) |
|
8.8 Experiments: God Does Play Dice, He Even Plays with Nonlocal Dice |
|
|
204 | (1) |
|
8.9 Entanglement as a Cause of Correlation |
|
|
204 | (1) |
|
8.10 From Quantum Nonlocality to Mere Nonlocality |
|
|
205 | (9) |
|
|
214 | (5) |
|
|
214 | (5) |
|
9 Faces of Quantum Physics |
|
|
219 | (16) |
|
|
|
219 | (1) |
|
|
219 | (1) |
|
9.2 Reality, Individuality, Phenomena |
|
|
220 | (3) |
|
9.3 Observables in Quantum Mechanics |
|
|
223 | (7) |
|
9.4 Field Theory and High Energy Experiments |
|
|
230 | (2) |
|
9.5 Concluding Remarks and Outlook |
|
|
232 | (3) |
|
|
234 | (1) |
|
10 Computation Through Neuronal Oscillations |
|
|
235 | (22) |
|
|
|
235 | (2) |
|
|
237 | (3) |
|
10.3 Neuro-Electrodynamics |
|
|
240 | (3) |
|
10.4 Manifestations of Neural Oscillations in Active Vision |
|
|
243 | (6) |
|
|
249 | (8) |
|
|
251 | (6) |
|
11 Local Properties, Growth and Transport of Entanglement |
|
|
257 | (16) |
|
|
|
257 | (1) |
|
11.2 A Topological Aspect of Entanglement |
|
|
258 | (2) |
|
11.3 A Schrodinger Equation for Local Entanglement |
|
|
260 | (3) |
|
11.4 Some Mathematical Aspects of the Construction |
|
|
263 | (1) |
|
11.5 An Approach Using Quantum Field Theory |
|
|
264 | (2) |
|
11.6 Growth and Transport of Entanglement |
|
|
266 | (2) |
|
|
268 | (1) |
|
11.8 Conclusions and Perspectives |
|
|
269 | (4) |
|
|
270 | (3) |
|
12 Unavoidable Decoherence in Matter Wave Interferometry |
|
|
273 | (18) |
|
|
|
273 | (4) |
|
12.2 Position Post-selection |
|
|
277 | (1) |
|
12.3 Momentum Post-selection |
|
|
277 | (7) |
|
|
284 | (1) |
|
|
285 | (2) |
|
|
287 | (4) |
|
|
288 | (3) |
|
13 Classical-Like Trajectories of a Quantum Particle in a Cloud Chamber |
|
|
291 | (24) |
|
|
|
|
13.1 The Wilson Cloud Chamber |
|
|
291 | (2) |
|
13.2 The Earliest Theoretical Investigations |
|
|
293 | (3) |
|
|
296 | (5) |
|
13.4 The Role of Semi-classical Analysis |
|
|
301 | (2) |
|
13.5 Mott's Analysis Revisited |
|
|
303 | (6) |
|
13.6 Different Approaches and Open Problems |
|
|
309 | (6) |
|
|
311 | (4) |
|
14 Quantum Mechanics of Time |
|
|
315 | (10) |
|
|
|
|
315 | (1) |
|
|
316 | (3) |
|
14.3 Energy-Time Uncertainty Relation |
|
|
319 | (2) |
|
|
321 | (4) |
|
|
322 | (3) |
|
15 Localization and Entanglement in Relativistic Quantum Physics |
|
|
325 | |
|
|
|
325 | (1) |
|
15.2 What is Relativistic Quantum Physics? |
|
|
326 | (3) |
|
15.3 Local Quantum Physics |
|
|
329 | (7) |
|
15.4 The Structure of Local Algebras |
|
|
336 | (5) |
|
|
341 | |
|
|
345 | |