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Cover: 9780521389907 | Symplectic Techniques in Physics | Shlomo Sternberg | Taschenbuch
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Symplectic Techniques in Physics
Taschenbuch von Victor W. Guillemin (u. a.)
Sprache: Englisch

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Beschreibung
Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.
Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.
Inhaltsverzeichnis
Preface; 1. Introduction; 2. The geometry of the moment map; 3. Motion in a Yang-Mills field and the principle of general covariance; 4. Complete integrability; 5. Contractions of symplectic homogeneous spaces; References; Index.
Details
Erscheinungsjahr: 1990
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521389907
ISBN-10: 0521389909
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Guillemin, Victor W.
Sternberg, Shlomo
Hersteller: Cambridge University Press
Maße: 229 x 152 x 29 mm
Von/Mit: Victor W. Guillemin (u. a.)
Erscheinungsdatum: 16.08.1990
Gewicht: 0,779 kg
Artikel-ID: 104992876
Inhaltsverzeichnis
Preface; 1. Introduction; 2. The geometry of the moment map; 3. Motion in a Yang-Mills field and the principle of general covariance; 4. Complete integrability; 5. Contractions of symplectic homogeneous spaces; References; Index.
Details
Erscheinungsjahr: 1990
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521389907
ISBN-10: 0521389909
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Guillemin, Victor W.
Sternberg, Shlomo
Hersteller: Cambridge University Press
Maße: 229 x 152 x 29 mm
Von/Mit: Victor W. Guillemin (u. a.)
Erscheinungsdatum: 16.08.1990
Gewicht: 0,779 kg
Artikel-ID: 104992876
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