Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

• Κύριος συγγραφέας: Shchepetilov, Alexey V. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Σειρά: Lecture Notes in Physics, 707
• Θέματα: Physics.; Differential geometry.; Mechanics.; Mathematical Methods in Physics.; Differential Geometry.

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...

Πίνακας περιεχομένων:

• 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.