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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.: | 9910146627803321 |
Lo trovi qui: | Univ. Federico II |
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