The Weyl Operator and its Generalization, Paperback / softback Book

The Weyl Operator and its Generalization Paperback / softback

Part of the Pseudo-Differential Operators series

Description

The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators.

Methods were proposed by Born/Jordan, Kirkwood, and Weyl.

Sometime later, Moyal saw the connection between the Weyl rule and the Wigner distribution, which had been proposed by Wigner in 1932 as a way of doing quantum statistical mechanics.

The basic idea of associating functions with operators has since been generalized and developed to a high degree.

It has found several application fields, including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar.

This book aims at bringing together the results from the above mentioned fields in a unified manner and showing the reader how the methods have been applied.

A wide audience is addressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field.

The mathematics is accessible to the uninitiated reader and is presented in a straightforward manner.

Information

  • Format: Paperback / softback
  • Pages: 159 pages, XII, 159 p.
  • Publisher: Springer Basel
  • Publication Date:
  • Category: Functional analysis & transforms
  • ISBN: 9783034802932

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