Quantum Reprogramming

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

By: Evert Jan Post, E. J. Post

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Hardcover | 31 July 1995

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340 Pages

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23.5 x 15.88 x 1.91

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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.

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Philosophy Metaphysics & Ontology Mathematics Geometry Topology Politics & Government History Science in General

Philosophy of Science

Introductory Remarks	p. 1
The Psychology of the 1925 Revolution	p. 16
Reassessing Copenhagen	p. 35
Copenhagen Versus Copenhagen	p. 60
Von Neumann, Popper-EPR, Bohm, Bell, Aspect	p. 74
Period Integrals: A Universal Tool of Physics	p. 85
Larmor and Cyclotron Aspects of Flux Quanta	p. 119
Fitting Period Integrals to Physics	p. 126
Implications of Cooperative Behavior	p. 144
A Tale of Fine Structure Coincidences	p. 151
Classical Nonclassical Asymptotics	p. 169
Arrowed Time and Cyclic Time	p. 189
Quantum Cohomology	p. 198
Optimizing Reduction to Familiar Concepts	p. 224
Compatibility of Quantum Mechanics and Relativity	p. 240
Quantum Understanding in Global Perspective	p. 255
Absolute Versus Relative Indeterminism	p. 264
The Diffeo-4 Mandate of Michelson-Sagnac	p. 283
Notes and References	p. 308
Index	p. 316
Table of Contents provided by Blackwell. All Rights Reserved.

Quantum Reprogramming

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

At a Glance

Hardcover

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