Wigner Transform, The
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A01=Maurice A De Gosson
Author_Maurice A De Gosson
Category=PBW
Category=PHQ
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Gabor Transform
Quantum Mechanics
Time-frequency Analysis
Wigner
Wigner Distribution
Wigner Transform
Product details
- ISBN 9781786343086
- Publication Date: 23 May 2017
- Publisher: World Scientific Europe Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This book provides an in-depth and rigorous study of the Wigner transform and its variants. They are presented first within a context of a general mathematical framework, and then through applications to quantum mechanics. The Wigner transform was introduced by Eugene Wigner in 1932 as a probability quasi-distribution which allows expression of quantum mechanical expectation values in the same form as the averages of classical statistical mechanics. It is also used in signal processing as a transform in time-frequency analysis, closely related to the windowed Gabor transform.Written for advanced-level students and professors in mathematics and mathematical physics, it is designed as a complete textbook course providing analysis on the most important research on the subject to date. Due to the advanced nature of the content, it is also suitable for research mathematicians, engineers and chemists active in the field.
