Shchepetilov, A: Calculus and Mechanics on Two-Point Homogen
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This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.
- Differential Operators on Smooth Manifolds
- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Tow-Point Homogeneous Riemannian Spaces
- Hamiltonian Systems With Symmetry And Their Reduction
- Tow-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
- Calculations of Commutator Relations for Algebras of Invariant Differential Operator
- Some Fuchsian Differential Equations
- Orthogonal Complex Lie Algebras and Their Representations
- Unsolved Problems
- Autor: Alexey V. Shchepetilov
- 2006, XVII, 257 Seiten, 5 Schwarz-Weiß-Abbildungen, Maße: 15,9 x 24,3 cm, Kartoniert (TB), Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540353844
- ISBN-13: 9783540353843
- Erscheinungsdatum: 06.09.2006
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