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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Basel :
Birkhäuser Basel,
2006.
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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.