Some quantum mechanical problems in Lobachevsky space

DOI10.1007/BF02073872zbMath0942.81005OpenAlexW1974509559MaRDI QIDQ1817662

Alexey V. Shchepetilov

Publication date: 22 August 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02073872

zbMATH Keywords

Bertrand-like potentialsquantized Bertrand systemsquantum mechanics in Lobachevsky spacequantum spherical top

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

FINITE FIELD THEORY ON NONCOMMUTATIVE GEOMETRIES, Two-body problem on spaces of constant curvature. I: Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system, Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces

Cites Work

• Kepler's problem in constant curvature spaces
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