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Quantum Mechanics on Phase Space Book

Quantum Mechanics on Phase Space
Quantum Mechanics on Phase Space, , Quantum Mechanics on Phase Space has a rating of 2.5 stars
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  • Quantum Mechanics on Phase Space
  • Written by author Franklin E. Schroeck Jr
  • Published by Springer-Verlag New York, LLC, November 1995
  • This volume is the result of extensive research into the foundations of quantum mechanics, and presents a new formulation of quantum theory which resolves many existing problems. The formalism is experimentally motivated and is shown to be consistent with
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Preface
Ch. IBasic Quantum Theory and the Necessity for Its Revision1
1Classical Mechanics of Particles and Fluids1
2Structure of a Physical Model: State, Property (Observable) Measurement12
3Quantum Mechanics of a (Non-Relativistic Spinless) Particle18
4On the Connection between Classical Mechanics and Quantum Mechanics85
5Mathematical Appendix91
Ch. IIBasic Experiments Suggest Generalizing Quantum Mechanics134
1Quantum Mechanical Descriptions of an Experiment135
2Capture on a Screen, in a Bubble Chamber, Gel, Cloud Chamber141
3The Stern-Gerlach Experiment158
4Crossed Polarizers196
5Single Slit Experiments & Inapplicability of Heisenberg Uncertainty Relations202
6Spontaneous Decay, Breit-Wigner (Cauchy) Distributions, and the Inapplicability of Heisenberg Type Uncertainty Relations205
7Interferometers207
8Imaging Processes and Signal Analysis223
9Sensory Perception and Neuroscience247
10Five Other Subjects and Their Implications256
11Mathematical Appendix263
Ch. IIIConstruction of Quantum Mechanics on Phase Space290
1Group Representation Theory292
2The Heisenberg Group (Weyl Algebra) and the Affine Group390
3Representations of the Galilei Group420
4Representations of the Poincare Group443
5Remarks on the de Sitter Group510
Ch. IVConsequences of Formulating Quantum Mechanics on Phase Space513
1The Quantum/Classical Connection513
2Quantum Field Theory541
3Spring Cleaning in the House of Quantum Mechanics558
4Reprise: Expanding the Realm of Application of Quantum Mechanics565
5A Discrete (Lattice) Quantum Universe, and Computability565
Ch. VFoundational Aspects568
1Relation to Generalized Quantum Logic568
2P.O.V.M.'s Arising on Operational Manuals571
3Relation to Quantum Mechanical Measurement Theory606
4Philosophical and Other Foundational Aspects613
References627
Index663


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