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Mathematical Aspects Of Weyl Quantization And Phase
Daniel Abrom Dubin
M A Hennings
Tom B Smith
出版
World Scientific
, 2000-06-12
主題
Science / Physics / Mathematical & Computational
ISBN
9814494615
9789814494618
URL
http://books.google.com.hk/books?id=gm_VCgAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.