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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Tác giả chính: Shchepetilov, Alexey V., 19..-
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Phiên bản:1st ed. 2006.
Loạt:Lecture Notes in Physics 707
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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
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505 1 |a 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 
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520 |a 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 
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