| Title:
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THE WEYL OPERATOR AND ITS GENERALIZATION
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| By: |
Leon Cohen |
| Format: |
Paperback |
| List price:
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£59.99 |
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| ISBN 10: |
3034802935 |
| ISBN 13: |
9783034802932 |
| Publisher: |
SPRINGER BASEL |
| Pub. date: |
12 December, 2012 |
| Edition: |
2013 |
| Series: |
Pseudo-Differential Operators 9 |
| Pages: |
159 |
| Description: |
This book collects results from fields including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar, showing how the Weyl Operator is applied. |
| Synopsis: |
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. |
| Illustrations: |
XII, 159 p. |
| Publication: |
Switzerland |
| Imprint: |
Springer Basel |
| Returns: |
Returnable |
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