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Quantum Reprogramming

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

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  • © 1995

Overview

Part of the book series: Boston Studies in the Philosophy and History of Science (BSPS, volume 181)

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Table of contents (19 chapters)

  1. Introductory Remarks

  2. The Copenhagen Era

  3. A Sommerfeld-De Rham View of Single Systems

  4. An Attempt at Cohomological Synthesis

  5. Ramifications of the Two-Tier View of Q.M.

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Quantum Reprogramming

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

  • Authors: Evert Jan Post

  • Series Title: Boston Studies in the Philosophy and History of Science

  • DOI: https://doi.org/10.1007/978-94-015-8410-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3565-8Published: 31 July 1995

  • Softcover ISBN: 978-90-481-4575-1Published: 07 December 2010

  • eBook ISBN: 978-94-015-8410-4Published: 29 June 2013

  • Series ISSN: 0068-0346

  • Series E-ISSN: 2214-7942

  • Edition Number: 1

  • Number of Pages: XIV, 322

  • Topics: Metaphysics, History, general, Quantum Physics, Algebraic Topology

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