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[null,"1.","Record Nr.",null,"UNISA996466722903316"]
[null,null,"Autore",null,"Shchepetilov Alexey V."]
[null,null,"Titolo",null,"Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany : , : Springer, , [2006]"]
[{"$nulls":4},"©2006"]
[null,null,"ISBN",null,"1-280-62742-5"]
[{"$nulls":4},"9786610627424"]
[{"$nulls":4},"3-540-35386-0"]
[null,null,"Edizione",null,"[1st ed. 2006.]"]
[null,null,"Descrizione fisica",null,"1 online resource (265 p.)"]
[null,null,"Collana",null,"Lecture Notes in Physics, , 0075-8450 ; ; 707"]
[null,null,"Disciplina",null,"516.362"]
[null,null,"Soggetti",null,"Riemannian manifolds"]
[{"$nulls":4},"Mathematical physics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Introduction."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"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."]