Calculus and mechanics on twopoint homogenous Riemannian spaces
 Author/Creator
 Shchepetilov, Alexey V.
 Language
 English.
 Imprint
 Berlin : Springer, 2006.
 Physical description
 xvii, 255 p. : ill. ; 25 cm.
 Series
 Lecture notes in physics 707.
Access
Available online
 www.springerlink.com
 www.myilibrary.com MyiLibrary
 www.springerlink.com SpringerLink
 site.ebrary.com ebrary

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QC20.7 .M24 S53 2006

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QC20.7 .M24 S53 2006
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Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 TwoPoint Homogeneous Riemannian Spaces. Differential Operators on Smooth Manifolds. Algebras of Invariant Differential Operators on Unit Sphere Bundles Over TowPoint Homogeneous Riemannian Spaces. Hamiltonian Systems With Symmetry And Their Reduction. TowBody Hamiltonian on TwoPoint Homogeneous Spaces. Particle in a Central Field on TwoPoint Homogeneous Spaces. Classical TwoBody Problem on TwoPoint Homogeneous Riemannian Spaces. QuasiExactly Solvability of the Quantum Mechanical TwoBody 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 The present monograph gives a short and concise introduction to classical and quantum mechanics on twopoint homogenous Riemannian spaces, with emphasis on spaces with constant curvature. Chapter 14 provide the basic notations from differential geometry for studying twobody dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the twobody quantum Hamiltonian. Chapter 6 addresses onebody 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2006
 Responsibility
 Alexey V. Shchepetilov.
 Series
 Lecture notes in physics, 00758450 ; 707
 Note
 Also available on the World Wide Web.
 ISBN
 3540353844
 9783540353843