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Preface | ||
Ch. I | Basic Quantum Theory and the Necessity for Its Revision | 1 |
1 | Classical Mechanics of Particles and Fluids | 1 |
2 | Structure of a Physical Model: State, Property (Observable) Measurement | 12 |
3 | Quantum Mechanics of a (Non-Relativistic Spinless) Particle | 18 |
4 | On the Connection between Classical Mechanics and Quantum Mechanics | 85 |
5 | Mathematical Appendix | 91 |
Ch. II | Basic Experiments Suggest Generalizing Quantum Mechanics | 134 |
1 | Quantum Mechanical Descriptions of an Experiment | 135 |
2 | Capture on a Screen, in a Bubble Chamber, Gel, Cloud Chamber | 141 |
3 | The Stern-Gerlach Experiment | 158 |
4 | Crossed Polarizers | 196 |
5 | Single Slit Experiments & Inapplicability of Heisenberg Uncertainty Relations | 202 |
6 | Spontaneous Decay, Breit-Wigner (Cauchy) Distributions, and the Inapplicability of Heisenberg Type Uncertainty Relations | 205 |
7 | Interferometers | 207 |
8 | Imaging Processes and Signal Analysis | 223 |
9 | Sensory Perception and Neuroscience | 247 |
10 | Five Other Subjects and Their Implications | 256 |
11 | Mathematical Appendix | 263 |
Ch. III | Construction of Quantum Mechanics on Phase Space | 290 |
1 | Group Representation Theory | 292 |
2 | The Heisenberg Group (Weyl Algebra) and the Affine Group | 390 |
3 | Representations of the Galilei Group | 420 |
4 | Representations of the Poincare Group | 443 |
5 | Remarks on the de Sitter Group | 510 |
Ch. IV | Consequences of Formulating Quantum Mechanics on Phase Space | 513 |
1 | The Quantum/Classical Connection | 513 |
2 | Quantum Field Theory | 541 |
3 | Spring Cleaning in the House of Quantum Mechanics | 558 |
4 | Reprise: Expanding the Realm of Application of Quantum Mechanics | 565 |
5 | A Discrete (Lattice) Quantum Universe, and Computability | 565 |
Ch. V | Foundational Aspects | 568 |
1 | Relation to Generalized Quantum Logic | 568 |
2 | P.O.V.M.'s Arising on Operational Manuals | 571 |
3 | Relation to Quantum Mechanical Measurement Theory | 606 |
4 | Philosophical and Other Foundational Aspects | 613 |
References | 627 | |
Index | 663 |
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