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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Gosson, Maurice de (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2006.
Σειρά:Operator Theory: Advances and Applications ; 166
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.