Mathematical aspects of Weyl quantization and phase /

Mathematical aspects of Weyl quantization and phase /

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Bibliographic Details
Author / Creator:	Dubin, D. A.
Imprint:	Singapore ; River Edge, NJ : World Scientific, ©2000.
Description:	1 online resource (xiv, 546 pages)
Language:	English
Subject:	Geometric quantization. Phase space (Statistical physics) Weyl groups. Quantum theory -- Mathematics. Geometric quantization. Phase space (Statistical physics) Quantum theory -- Mathematics. Weyl groups. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11169991

Hidden Bibliographic Details
Varying Form of Title:	Weyl quantization and phase
Other authors / contributors:	Hennings, M. A. (Mark A.), 1959- Smith, T. B. (Thomas Buckley)
ISBN:	9789812813459 9812813454 981023919X 9789810239190
Notes:	Includes bibliographical references (pages 519-530) and index. English. Print version record.
Summary:	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.
Other form:	Print version: Dubin, D.A. Mathematical aspects of Weyl quantization and phase. Singapore ; River Edge, NJ : World Scientific, ©2000 981023919X

Description
Summary:	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.
Physical Description:	1 online resource (xiv, 546 pages)
Bibliography:	Includes bibliographical references (pages 519-530) and index.
ISBN:	9789812813459 9812813454 981023919X 9789810239190