Mathematical Aspects of Weyl Quantization and PhaseeBook - 2000
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.
Publisher: Singapore ; River Edge, NJ : World Scientific, ©2000
Characteristics: 1 online resource (xiv, 546 pages)
Alternative Title: Weyl quantization and phase