Mathematical Physics

Download E-books Mathematical Aspects of Weyl Quantization and Phase PDF

By M. A. Hemmings

This booklet analyzes in massive generality the quantization-dequantization vital remodel scheme of Weyl and Wigner, and considers numerous section operator theories. It good points: a radical therapy of quantization in polar coordinates; dequantization through a brand new approach to “motes”; a dialogue of Moyal algebras; alterations of the remodel strategy to accommodate operator orderings; a rigorous dialogue of the Dicke laser version for one mode, totally quantum, within the thermodynamic restrict; research of quantum part theories in accordance with the Toeplitz operator, the coherent kingdom operator, the quantized section area attitude, and a series of finite rank operators.

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