Symplectic geometry and quantum mechanics
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Inglés |
| Published: |
Basel [etc.] :
Birkhäuser
cop. 2006.
|
| Series: | Operator theory. Advances in partial differential equations ;
166. |
| Subjects: | |
| See on Universidad de Navarra: | https://unika.unav.edu/discovery/fulldisplay?docid=alma991001220389708016&context=L&vid=34UNAV_INST:VU1&search_scope=34UNAV_TODO&tab=34UNAV_TODO&lang=es |
Table of Contents:
- Preface.- Notation.- I. Symplectic Geometry.- 1. Symplectic Spaces and Lagrangian Planes - 2. The Symplectic Group - 3. Multi-Oriented Symplectic Geometry - 4. Intersection Indices.- II. Heisenberg Group, Weyl Calculus, and Metaplectic Representation - 5. Lagrangian Manifolds and Quantization - 6. Heisenberg Group and Weyl Operators - 7. The Metaplectic Group.- III. Quantum Mechanics in Phase Space - 8. The Uncertainty Principle - 9. The Density Operator - 10. A Phase Space Weyl Calculus.- Appendices.- Bibliography.- Index.
