Книга Symplectic Geometry and Quantum Mechanics Maurice A. de Gosson

Symplectic Geometry and Quantum Mechanics

Автор: Maurice A. de Gosson
Език: Английски език
Корици: С твърди корици
Издател: Birkhauser Verlag AG
Наличност: Външен склад
Изпращаме след 10-18 дни
202.21 395.49 лв
This book is devoted to a rather complete discussion of techniques and topics intervening in the mat...

Информация за книгата

Език
Английски език
Корици
Книга - С твърди корици
Издадена
2006
страници
368
EAN
9783764375744
ISBN
3764375744
Enbook ID
01716824
Издател
Теглоt
918
Размери
185 x 263 x 31

Пълно описание

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 concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices. Thus the keys for the mathematical description of quantum mechanics in phase space are discussed. They are followed by a rigorous geometrical treatment of the uncertainty principle. Then Hilbert-Schmidt and trace-class operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudo-differential calculus is extended to phase space in order to derive a Schrödinger equation in phase space whose solutions are related to those of the usual Schrödinger equation by a wave-packet transform.§The text is essentially self-contained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology.

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