Alexey V. Shchepetilov
Springer Berlin Heidelberg
0e druk, 2010
9783642071270
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Specificaties
Paperback, 242 blz.
|
Engels
Springer Berlin Heidelberg |
2010
ISBN13: 9783642071270
Rubricering
Onderdeel van serie
Lecture Notes in Physics
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783642071270
Taal:Engels
Bindwijze:paperback
Aantal pagina's:242
Uitgever:Springer Berlin Heidelberg
Druk:0
Serie:Lecture Notes in Physics
Inhoudsopgave
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.