Mathematical Aspects of Weyl Quantization and Phase

Released on by D. A. Dubin
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  • Mathematical Aspects of Weyl Quantization and Phase Book Detail

  • Author : D. A. Dubin
  • Release Date : 2000
  • Publisher : World Scientific
  • Genre : Science
  • Pages : 562
  • ISBN 13 : 981023919X
  • File Size : 36,36 MB
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Mathematical Aspects of Weyl Quantization and Phase by D. A. Dubin PDF Summary

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 Dieke 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.

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