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

Theoretical and Mathematical Physics ◽

10.1007/bf02557312 ◽

1999 ◽

Vol 118 (2) ◽

pp. 197-208 ◽

Author(s):

A. V. Shchepetilov

Keyword(s):

Constant Curvature ◽

Body Problem ◽

Quantum Mechanical ◽

Two Body Problem ◽

Central Interaction ◽

Constant Curvature Surfaces ◽

Simply Connected

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Classical and quantum mechanical two body problem with central interaction on simply connected spaces of constant sectional curvature

Reports on Mathematical Physics ◽

10.1016/s0034-4877(99)80160-8 ◽

1999 ◽

Vol 44 (1-2) ◽

pp. 191-198 ◽

Author(s):

A.V. Shchepetilov

Keyword(s):

Sectional Curvature ◽

Body Problem ◽

Constant Sectional Curvature ◽

Quantum Mechanical ◽

Two Body Problem ◽

Central Interaction ◽

Simply Connected ◽

Connected Spaces

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Invariant Reduction of the Two-body Problem with Central Interaction on Simply Connected Spaces of Constant Sectional Curvature

10.7546/giq-1-2000-229-240 ◽

2012 ◽

Author(s):

Alexey V. Shchepetilov

Keyword(s):

Sectional Curvature ◽

Body Problem ◽

Constant Sectional Curvature ◽

Two Body Problem ◽

Central Interaction ◽

Simply Connected ◽

Connected Spaces

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Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature

Journal of Physics A General Physics ◽

10.1088/0305-4470/31/29/017 ◽

1998 ◽

Vol 31 (29) ◽

pp. 6279-6291 ◽

Author(s):

A V Shchepetilov

Keyword(s):

Sectional Curvature ◽

Body Problem ◽

Constant Sectional Curvature ◽

Two Body Problem ◽

Central Interaction ◽

Simply Connected ◽

Connected Spaces

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Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/8/019 ◽

1999 ◽

Vol 32 (8) ◽

pp. 1531-1531 ◽

Author(s):

A V Shchepetilov

Keyword(s):

Sectional Curvature ◽

Body Problem ◽

Constant Sectional Curvature ◽

Two Body Problem ◽

Central Interaction ◽

Simply Connected ◽

Connected Spaces

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Invariant treatment of the two-body problem with central interaction on simply connected spaces of constant sectional curvature

Reports on Mathematical Physics ◽

10.1016/s0034-4877(01)80029-x ◽

2000 ◽

Vol 46 (1-2) ◽

pp. 245-252

Author(s):

A.V. Shchepetilov

Keyword(s):

Sectional Curvature ◽

Body Problem ◽

Constant Sectional Curvature ◽

Two Body Problem ◽

Central Interaction ◽

Simply Connected ◽

Connected Spaces

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Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces - Lecture Notes in Physics ◽

10.1007/3-540-35386-0_8 ◽

2006 ◽

pp. 191-217

Author(s):

Alexey V. Shchepetilov

Keyword(s):

Body Problem ◽

Quantum Mechanical ◽

Two Body Problem

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Nonintegrability of the two-body problem in constant curvature spaces

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/20/011 ◽

2006 ◽

Vol 39 (20) ◽

pp. 5787-5806 ◽

Author(s):

Alexey V Shchepetilov

Keyword(s):

Constant Curvature ◽

Body Problem ◽

Two Body Problem ◽

Constant Curvature Spaces

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The restricted two-body problem in constant curvature spaces

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-006-9012-2 ◽

2006 ◽

Vol 96 (1) ◽

pp. 1-17 ◽

Author(s):

Alexey V. Borisov ◽

Ivan S. Mamaev

Keyword(s):

Constant Curvature ◽

Body Problem ◽

Two Body Problem ◽

Constant Curvature Spaces

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Two-body problem on spaces of constant curvature: I. Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system

Theoretical and Mathematical Physics ◽

10.1007/bf02551078 ◽

2000 ◽

Vol 124 (2) ◽

pp. 1068-1081 ◽

Author(s):

A. V. Shchepetilov

Keyword(s):

Symmetry Group ◽

Constant Curvature ◽

Body Problem ◽

Classical System ◽

Spaces Of Constant Curvature ◽

Two Body Problem

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

Theoretical and Mathematical Physics ◽

10.1007/bf02551003 ◽

2000 ◽

Vol 124 (3) ◽

pp. 1265-1272 ◽

Author(s):

I. É. Stepanova ◽

A. V. Shchepetilov

Keyword(s):

Constant Curvature ◽

Spectral Properties ◽

Body Problem ◽

Spaces Of Constant Curvature ◽

Two Body Problem

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