Symplectic geometry and quantum mechanics

This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concen...

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Hlavní autor: Gosson, Maurice A. de, 19..-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Vydání:1st ed. 2006.
Edice:Advances in Partial Differential Equations 166
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Poznámka: Description d'après consultation du 27 avril 2011
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Symplectic geometry and quantum mechanics, advances in partial differential equations, Maurice de Gosson, Basel, Birkhäuser, 2006, 1 vol. (XX-367 p.), Operator theory, advances and applications, 3-7643-7574-4
• Symplectic Geometry and Quantum Mechanics, Texte imprimé, 9783764391256
• Symplectic geometry and quantum mechanics, advances in partial differential equations, Maurice de Gosson, Basel, Birkhäuser, 2006, 1 vol. (XX-367 p.), Operator theory, advances and applications, 3-7643-7574-4
Obsah:
  • Symplectic Geometry Symplectic Spaces and Lagrangian Planes The Symplectic Group Multi-Oriented Symplectic Geometry Intersection Indices in Lag(n) and Sp(n) Heisenberg Group, Weyl Calculus, and Metaplectic Representation Lagrangian Manifolds and Quantization Heisenberg Group and Weyl Operators The Metaplectic Group Quantum Mechanics in Phase Space The Uncertainty Principle The Density Operator A Phase Space Weyl Calculus