TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
T2  - Lecture Notes in Physics,
SN  - 9783540353867
AV  - QC5.53 
U1  - 530.15 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Global differential geometry
KW  - Mathematical physics
KW  - Mechanics
KW  - Mathematical Methods in Physics
KW  - Differential Geometry
N1  - 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; ZDB-2-PHA; ZDB-2-LNP
N2  - 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 spaces. 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 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials
UR  - http://dx.doi.org/10.1007/b11771456
ER  -