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Sinopsis
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
De la contraportada
This book deals with the theory and application of associating a function of two variables with a function of two operators that do not commute.
The concept of associating ordinary functions with operators has arisen in many areas of science and mathematics, and up to the beginning of the twentieth century many isolated results were obtained. These developments were mostly based on associating a function of one variable with one operator, the operator generally being the differentiation operator. With the discovery of quantum mechanics in the years 1925-1930, there arose, in a natural way, the issue that one has to associate a function of two variables with a function of two operators that do not commute. Methods to do so became known as rules of association, correspondence rules, or ordering rules. This has led to a wonderfully rich mathematical development that has found applications in many fields. Subsequently it was realized that for every correspondence rule there is a corresponding phase-space distribution. Now the fields of correspondence rules and phase-space distributions are intimately connected. A similar development occurred in the field of time-frequency analysis where the aim is to understand signals with changing frequencies.
The Weyl Operator and Its Generalization aims at bringing together the basic results of the field in a unified manner. 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."Sobre este título" puede pertenecer a otra edición de este libro.
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The Weyl Operator and its Generalization.
Publicado por
Basel, Birkhäuser, 2012
ISBN 10: 3034802935
ISBN 13: 9783034802932
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Librería: Antiquariat Thomas Nonnenmacher, Freiburg, Alemania
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Softcover/Paperback. Condición: Sehr gut. 250 Seiten. Einband berieben, ansonsten sehr gut erhalten. 9783034802932 Sprache: Englisch Gewicht in Gramm: 1200 (Pseudo-Differential Operators Theory and Applications, Vol. 9.). Nº de ref. del artículo: 95626
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The Weyl Operator and its Generalization
Publicado por
Springer Basel Dez 2012, 2012
ISBN 10: 3034802935
ISBN 13: 9783034802932
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 172 pp. Englisch. Nº de ref. del artículo: 9783034802932
Cantidad disponible: 2 disponibles
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The Weyl Operator and its Generalization
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783034802932
Cantidad disponible: 1 disponibles
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The Weyl Operator and its Generalization (Pseudo-Differential Operators, 9)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9783034802932_new
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The Weyl Operator and its Generalization
Publicado por
Springer Basel, 2012
ISBN 10: 3034802935
ISBN 13: 9783034802932
Nuevo
Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Numerous examples are worked, out illustrating each result The applications to various fields are discussed in elementary fashion The methods are extended to operators other than the standard onesNumerous examples are worked, out. Nº de ref. del artículo: 4318173
Cantidad disponible: Más de 20 disponibles
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The Weyl Operator and its Generalization (Pseudo-Differential Operators)
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Birkh�user 2012-12-12, 2012
ISBN 10: 3034802935
ISBN 13: 9783034802932
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Paperback
Librería: Chiron Media, Wallingford, Reino Unido
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Paperback. Condición: New. Nº de ref. del artículo: 6666-IUK-9783034802932
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The Weyl Operator and Its Generalization
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. pp. 174. Nº de ref. del artículo: 2658578577
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The Weyl Operator and Its Generalization
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
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Condición: New. Print on Demand pp. 174. Nº de ref. del artículo: 51013966
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The Weyl Operator and its Generalization
Publicado por
Springer Basel, Springer Basel Dez 2012, 2012
ISBN 10: 3034802935
ISBN 13: 9783034802932
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 172 pp. Englisch. Nº de ref. del artículo: 9783034802932
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The Weyl Operator and Its Generalization
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 2012 edition. 171 pages. 9.45x0.41x6.61 inches. In Stock. Nº de ref. del artículo: x-3034802935
Cantidad disponible: 2 disponibles