Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
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| Autore: |
Shchepetilov Alexey V.
|
| Titolo: |
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
|
| Pubblicazione: | Berlin, Germany : , : Springer, , [2006] |
| ©2006 | |
| Edizione: | 1st ed. 2006. |
| Descrizione fisica: | 1 online resource (265 p.) |
| Disciplina: | 516.362 |
| Soggetto topico: | Riemannian manifolds |
| Mathematical physics | |
| Note generali: | Introduction. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Calculus and mechanics on two-point homogenous riemannian spaces |
| ISBN: | 1-280-62742-5 |
| 9786610627424 | |
| 3-540-35386-0 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466722903316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Physics, . 0075-8450 ; ; 707