Symplectic Geometry and Quantum Mechanics
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The work Symplectic Geometry and Quantum Mechanics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Symplectic Geometry and Quantum Mechanics
Resource Information
The work Symplectic Geometry and Quantum Mechanics represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Symplectic Geometry and Quantum Mechanics
 Statement of responsibility
 by Maurice A. de Gosson
 Language

 eng
 eng
 Summary
 This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semiclassical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiplyoriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the WignerMoyal 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 HilbertSchmidt and traceclass operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudodifferential 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 wavepacket transform. The text is essentially selfcontained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology
 Dewey number
 516.362
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 wn0UoTyER0
 Language note
 English
 LC call number

 QA252.3
 QA387
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Advances in Partial Differential Equations,
 Series volume
 166
Context
Context of Symplectic Geometry and Quantum MechanicsWork of
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