Quantum Reprogramming: Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics: 181 (Boston Studies in the Philosophy and History of Science, 181) - Hardcover

Post, E.J.

Hardcover

ISBN 10: 0792335651 ISBN 13: 9780792335658

Publisher: Kluwer Academic Publishers, 1995

Synopsis

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.

Edition details

• Publisher: Kluwer Academic Publishers
• Publication date: 1995
• Language: English
• ISBN 10: 0792335651
• ISBN 13: 9780792335658
• Binding: Hardcover
• Number of pages: 336