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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: de Gosson, Maurice A. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2006.
Edition:1st ed. 2006.
Series:Advances in Partial Differential Equations, 166
Subjects:
Topological groups.
Lie groups.
Mathematical physics.
Differential equations.
Mathematical analysis.
Operator theory.
Quantum physics.
Topological Groups and Lie Groups.
Mathematical Methods in Physics.
Differential Equations.
Integral Transforms and Operational Calculus.
Operator Theory.
Quantum Physics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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