The path integral for the Kepler problem on the pseudosphere

DOI10.1016/0003-4916(90)90126-9zbMath0722.70017OpenAlexW1973712894MaRDI QIDQ756463

Christian Grosche

Publication date: 1990

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(90)90126-9

zbMATH Keywords

path integralpseudosphereManning-Rosen potentialD-dimensional pseudosphereEnergy spectrumgeneralized Kepler problemwave-functions

Mathematics Subject Classification ID

Three-body problems (70F07) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Path integral treatment for a Coulomb system constrained on \(D\)-dimensional sphere and hyperboloid, Dirac Particle in the Coulomb Field on the Background of Hyperbolic Lobachevsky Model, Aharonov-Bohm effect on the Poincaré disk, The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature, The spatial problem of 2 bodies on a sphere. Reduction and stochasticity, Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

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