Unstable Systems
Language: English
Published by Springer International Publishing Jun 2020, 2020
- Hardcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 94.71
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This item is printed on demand - it takes 3-4 days longer - Neuware -This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Herethe main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foiasand its more general extension to approximate semigroup evolution is explained.The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior.It is then shown that,in the framework ofthe theory of symplecticmanifolds, there is a systematicalgorithm for the construction of a canonical transformationof any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods forstability analysis ina wide range of applications. 232 pp. Englisch.…
Seller Inventory # 9783030315696
- Title
- Unstable Systems
- Author
- Yosef Strauss
- Publisher
- Springer International Publishing Jun 2020
- Publication year
- 2020
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 303031569X
- ISBN 13
- 9783030315696
- Item weight
- 518 grams
- Dimensions
- 241x160x19 mm
- Series
- Book 20 of 24: Mathematical Physics Studies
This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foias and its more general extension to approximate semigroup evolution is explained.
The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior. It is then shown that, in the framework of the theory of symplectic manifolds, there is a systematic algorithm for the construction of a canonical transformation of any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods for stability analysis in a wide range of applications.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main methods are critically described, such as the Gamow approach, the Wigner-Weisskopf formulation, the Lax-Phillips theory, and a method developed by the authors using the dilation construction proposed by Nagy and Foias. The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which show to be highly effective in diagnosing instability and, in many cases, chaotic behavior. Part three shows that many of the aspects of the classical picture display properties that can be associated with underlying quantum phenomena, as should be expected in the real world.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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