Path integral treatment of the hydrogen atom in a curved space of constant curvature

DOI10.1088/0305-4470/20/18/027zbMath0628.58005OpenAlexW2051687601MaRDI QIDQ3764910

Akira Inomata, Asim O. Barut, Georg Junker

Publication date: 1987

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/20/18/027

zbMATH Keywords

path integralpath integrationdynamical group

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (13)

Path integral solution for the Coulomb potential in a curved space of constant positive curvature ⋮ Dirac Particle in the Coulomb Field on the Background of Hyperbolic Lobachevsky Model ⋮ The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization ⋮ The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature ⋮ Massless geodesics in \(\text{AdS}_5\times Y(p,q)\) as a superintegrable system ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity ⋮ The path integral for the Kepler problem on the pseudosphere ⋮ Path integration on the hyperbolic plane with a magnetic field ⋮ Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces ⋮ Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2 ⋮ Exact and quasiexact solvability of second-order superintegrable quantum systems: I. Euclidean space preliminaries ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II

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