The Weyl Operator and Its Generalization Paperback
by Leon Cohen
Part of the Pseudo-Differential Operators series
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.
- Format: Paperback
- Pages: 159 pages, XII, 159 p.
- Publisher: Springer Basel
- Publication Date: 12/12/2012
- Category: Functional analysis & transforms
- ISBN: 9783034802932
- PDF from £53.54