Mathematical Aspects of Weyl Quantization and Phase

mathematical aspects of weyl quantization and phase

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Mathematical Aspects of Weyl Quantization and Phase

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Mathematical Reviews
"... it provides an excellent survey in a very broad sense of the present state-of-the-art in the subject."

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.

Mathematical Aspects of Weyl Quantization and Phase,D.A. Dubin,M. A. Hemmings,T. B. Smith,World Scientific Publishing Company,981023919X,General,Mathematical Physics,Physics,Science,Science/Mathematics,Statistical Physics

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