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Mathematical Aspects Of Weyl Quantization And Phase

Mathematical Aspects Of Weyl Quantization And Phase PDF Author: Daniel Abrom Dubin
Publisher: World Scientific
ISBN: 9814494615
Category : Science
Languages : en
Pages : 562

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Book Description
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.