Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

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...

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Detalles Bibliográficos
Autor principal: Shchepetilov, Alexey V., 19..-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edición:1st ed. 2006.
Colección:Lecture Notes in Physics 707
Materias:
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Calculus and mechanics on two-point homogenous Riemannian space, Alexey V. Shchepetilov, 2006, Berlin, Springe, 1 vol. (XVII-255 p.), Lecture notes in physics, 978-3-540-35384-3
• Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, Texte imprimé, 9783642071270
• Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, Texte imprimé, 9783540825685
Tabla de Contenidos:
  • 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