TitleCalculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Author(s)Shchepetilov, Alexey V
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXVIII, 242 p : online resource
Abstract NoteThe 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
ISBN,Price9783540353867
Keyword(s)1. CLASSICAL MECHANICS 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MECHANICS 7. PHYSICS
Item TypeeBook
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