Overview

Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle, this text puts forward; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-1930s. This lingering dichotomy of purpose for a major physical discipline has greatly clouded further insights into the foundations of quantum theory. This work aims to resolve 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., Schrodinger-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.

Full Product Details

Author:   E.J. Post
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   181
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.410kg
ISBN:  

9780792335658

ISBN 10:   0792335651
Pages:   322
Publication Date:   31 July 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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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