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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 481–489
DOI: https://doi.org/10.4213/tmf652 (Mi tmf652) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Two-body problem on spaces of constant curvature: II. Spectral properties of the Hamiltonian

I. É. Stepanovaa, A. V. Shchepetilovb

a Schmidt United Institute of Physics of the Earth, Russian Academy of Scienses
b M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (229 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf652
Abstract: We consider the problem of two bodies with a central interaction on simply connected constant-curvature spaces of arbitrary dimension. We construct the self-adjoint extension of the quantum Hamiltonian, which was explicitly expressed through the radial differential operator and the generators of the isometry group of a configuration space in Part I of this paper. Exact spectral series are constructed for several potentials in the space S3.
Received: 12.11.1999
Revised: 03.04.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1265–1272
DOI: https://doi.org/10.1007/BF02551003
Bibliographic databases:
Language: Russian
Citation: I. É. Stepanova, A. V. Shchepetilov, “Two-body problem on spaces of constant curvature: II. Spectral properties of the Hamiltonian”, TMF, 124:3 (2000), 481–489; Theoret. and Math. Phys., 124:3 (2000), 1265–1272
Citation in format AMSBIB
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\pages 481--489
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\transl
\jour Theoret. and Math. Phys.
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\vol 124
\issue 3
\pages 1265--1272
\crossref{https://doi.org/10.1007/BF02551003}
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    This publication is cited in the following 6 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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