Item type | Current location | Call number | Status | Date due | Barcode |
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Books | 530.1595 GOS (Browse shelf) | Available | 032415 |
530.1594 VER Computational physics : an introduction | 530.1594 VES Computational physics : an introduction | 530.1595 BER Statistical physics of complex systems : a concise introduction | 530.1595 GOS Wigner transform | 530.1595 JAV Statistical physics and computational methods for evolutionary game theory | 530.1595 REI Modern course in statistical physics | 530.15950285 SAN Computational statistical physics : lecture notes, Guwahati SERC School |
Includes bibliographical references and index
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.
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