Ebook: Quantum Reprogramming: Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics

Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schrödinger-Dirac methods for ensembles versus period integrals for single systems.
A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron's anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology.
Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.

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Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schr?dinger-Dirac methods for ensembles versus period integrals for single systems.
A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron's anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology.
Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.

---

Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schr?dinger-Dirac methods for ensembles versus period integrals for single systems.
A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron's anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology.
Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.

Content:
Front Matter....Pages i-xiv
Introductory Remarks....Pages 1-14
Front Matter....Pages 15-15
The Psychology of the 1925 Revolution....Pages 16-34
Reassessing Copenhagen....Pages 35-59
Copenhagen Versus Copenhagen....Pages 60-73
Von Neumann, Popper-EPR, Bohm, Bell, Aspect....Pages 74-83
Front Matter....Pages 84-84
Period Integrals: A Universal Tool of Physics....Pages 85-118
Larmor and Cyclotron Aspects of Flux Quanta....Pages 119-125
Fitting Period Integrals to Physics....Pages 126-143
Implications of Cooperative Behavior....Pages 144-150
A Tale of Fine Structure Coincidences....Pages 151-168
Classical Nonclassical Asymptotics....Pages 169-187
Front Matter....Pages 188-188
Arrowed Time and Cyclic Time....Pages 189-197
Quantum Cohomology....Pages 198-223
Optimizing Reduction to Familiar Concepts....Pages 224-238
Front Matter....Pages 239-239
Compatibility of Quantum Mechanics and Relativity....Pages 240-254
Quantum Understanding in Global Perspective....Pages 255-263
Absolute Versus Relative Indeterminism....Pages 264-282
The Diffeo-4 Mandate of Michelson-Sagnac....Pages 283-296
Epilogue for Extrapolating a Favor of Fortune....Pages 297-307
Back Matter....Pages 308-322

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Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e., Schr?dinger-Dirac methods for ensembles versus period integrals for single systems.
A unified treatment of integer and fractional quantum Hall effects and a finite description of the electron's anomalies are mentioned as measures of justification for the chosen procedure of resolving an old-time dichotomy. The methods of presentation are, in part, elementary, with repetitive references needed to delineate differences with respect to standard methods. The parts on period integrals are developed with a perspective on elementary methods in physics, thus leading up to some standard results of de Rham theory and algebraic topology.
Audience: Students of physics, mathematics, philosophers as well as outsiders with a general interest in the conceptual development of physics will find useful reading in these pages, which will stimulate further inquiry and study.

Content:
Front Matter....Pages i-xiv
Introductory Remarks....Pages 1-14
Front Matter....Pages 15-15
The Psychology of the 1925 Revolution....Pages 16-34
Reassessing Copenhagen....Pages 35-59
Copenhagen Versus Copenhagen....Pages 60-73
Von Neumann, Popper-EPR, Bohm, Bell, Aspect....Pages 74-83
Front Matter....Pages 84-84
Period Integrals: A Universal Tool of Physics....Pages 85-118
Larmor and Cyclotron Aspects of Flux Quanta....Pages 119-125
Fitting Period Integrals to Physics....Pages 126-143
Implications of Cooperative Behavior....Pages 144-150
A Tale of Fine Structure Coincidences....Pages 151-168
Classical Nonclassical Asymptotics....Pages 169-187
Front Matter....Pages 188-188
Arrowed Time and Cyclic Time....Pages 189-197
Quantum Cohomology....Pages 198-223
Optimizing Reduction to Familiar Concepts....Pages 224-238
Front Matter....Pages 239-239
Compatibility of Quantum Mechanics and Relativity....Pages 240-254
Quantum Understanding in Global Perspective....Pages 255-263
Absolute Versus Relative Indeterminism....Pages 264-282
The Diffeo-4 Mandate of Michelson-Sagnac....Pages 283-296
Epilogue for Extrapolating a Favor of Fortune....Pages 297-307
Back Matter....Pages 308-322
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