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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 118, Number 2, Pages 248–263
DOI: https://doi.org/10.4213/tmf697 (Mi tmf697) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces

A. V. Shchepetilov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (266 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf697
Abstract: We consider the quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. Using the group isometries, we obtain systems of ordinary differential equations for the energy levels. We prove that the Hamiltonian is self-adjoint for several interaction potentials. For the sphere, a number of energy series are evaluated for bodies with equal masses.
Received: 05.06.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 118, Issue 2, Pages 197–208
DOI: https://doi.org/10.1007/BF02557312
Bibliographic databases:
Language: Russian
Citation: A. V. Shchepetilov, “Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces”, TMF, 118:2 (1999), 248–263; Theoret. and Math. Phys., 118:2 (1999), 197–208
Citation in format AMSBIB
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\paper Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 2
\pages 197--208
\crossref{https://doi.org/10.1007/BF02557312}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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