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 di...

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Bibliographic Details
Main Author: Post, E.J.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1995, 1995
Edition:1st ed. 1995
Series:Boston Studies in the Philosophy and History of Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Quantum Reprogramming  |h Elektronische Ressource  |b Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics  |c by E.J. Post 
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505 0 |a Introductory Remarks -- Introductory Remarks -- The Copenhagen Era -- The Psychology of the 1925 Revolution -- Reassessing Copenhagen -- Copenhagen Versus Copenhagen -- Von Neumann, Popper-EPR, Bohm, Bell, Aspect -- A Sommerfeld-De Rham View of Single Systems -- Period Integrals: A Universal Tool of Physics -- Larmor and Cyclotron Aspects of Flux Quanta -- Fitting Period Integrals to Physics -- Implications of Cooperative Behavior -- A Tale of Fine Structure Coincidences -- Classical Nonclassical Asymptotics -- An Attempt at Cohomological Synthesis -- Arrowed Time and Cyclic Time -- Quantum Cohomology -- Optimizing Reduction to Familiar Concepts -- Ramifications of the Two-Tier View of Q.M. -- Compatibility of Quantum Mechanics and Relativity -- Quantum Understanding in Global Perspective -- Absolute Versus Relative Indeterminism -- The Diffeo-4 Mandate of Michelson-Sagnac -- Epilogue for Extrapolating a Favor of Fortune -- Epilogue for Extrapolating a Favor of Fortune 
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653 |a History 
653 |a Quantum physics 
653 |a Algebraic topology 
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520 |a 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