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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these space...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Edición: | 1st ed. 2006. |
| Colección: | Lecture Notes in Physics,
707 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Two-Point Homogeneous Riemannian Spaces
- Differential Operators on Smooth Manifolds
- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces
- Hamiltonian Systems with Symmetry and Their Reduction
- Two-Body Hamiltonian on Two-Point Homogeneous Spaces
- Particle in a Central Field on Two-Point Homogeneous Spaces
- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces
- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres.