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Beyond Conventional Quantization - John R. Klauder

Beyond Conventional Quantization

Hardcover

Published: 28th November 1999
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This text describes novel treatments of quantum problems using enhanced quantization procedures. When treated conventionally, certain systems yield trivial and unacceptable results. This book describes enhanced procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory, which, when applied to such systems, yield nontrivial and acceptable results. The text begins with a review of classical mechanics, Hilbert space, quantum mechanics, and scalar quantum field theory. Next, analytical skills are further developed, a special class of models is studied, and a discussion of continuous and discontinuous perturbations is presented. Later chapters cover two further classes of models both of which entail discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covariant scalar quantum field theories. Symmetry is repeatedly used as a tool to help develop solutions for simple and complex problems alike. Challenging exercises and detailed references are included.

Introduction and overview
Classical mechanics
Hilbert space: the arena of quantum physics
Quantum mechanics
Scalar quantum field theory
Expanding the data base
Rotationally symmetric models
Continuous and discontinuous perturbations
Independent-value models
Ultralocal models
Summary and outlook
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521258845
ISBN-10: 0521258847
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 336
Published: 28th November 1999
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.7 x 17.4  x 1.9
Weight (kg): 0.74