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Beschreibung
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.
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.
Details
Erscheinungsjahr: 2017
Fachbereich: Theoretische Physik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: ADVANCED TEXTBOOKS IN MATHEMATICS
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781786343093
ISBN-10: 1786343096
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Gosson Maurice de
Hersteller: WSPC (Europe)
ADVANCED TEXTBOOKS IN MATHEMATICS
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 14 mm
Von/Mit: Gosson Maurice de
Erscheinungsdatum: 23.05.2017
Gewicht: 0,368 kg
Artikel-ID: 108225204