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

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Product Code: 9789048145751
ISBN13: 9789048145751
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$180.44

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

$180.44
 
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.



Author: E. J. Post
Publisher: Springer
Publication Date: 40519
Number of Pages: 322 pages
Binding: Philosophy
ISBN-10: 9048145759
ISBN-13: 9789048145751
 

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