Mathematical Aspects Of Weyl Quantization And Phase

By: Daniel Abrom Dubin, M.A. Hennings, T. B. Smith

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Hardcover | 13 June 2000

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Hardcover
560 Pages

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21.59 x 15.88 x 3.18

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This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dicke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators.

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Mathematics Calculus & Mathematical Analysis Quantum Physics & Quantum Mechanics & Quantum Field Theory Booktopia Publisher Services World Scientific Publishing

Fundamentals	p. 1
Background	p. 3
Some Remarks On Classical Mechanics	p. 12
The Bounded Model	p. 34
The Smooth Model	p. 57
Representations Of The CCR	p. 98
Probability in Quantum Mechanics	p. 132
Dynamical Systems	p. 157
Weyl Quantization	p. 193
Quantization And Phase	p. 239
Quantization In Polar Coordinates	p. 241
Phase Operators	p. 277
The Laser Model	p. 315
Weyl Dequantization	p. 364
The Moyal Product	p. 389
Ordered Quantization	p. 420
Asymptotics	p. 450
Measurements	p. 489
Bibliography	p. 519
Index	p. 531
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematical Aspects Of Weyl Quantization And Phase

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Hardcover

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