Path integral treatment for a Coulomb system constrained on \(D\)-dimensional sphere and hyperboloid

DOI10.1016/J.AOP.2006.08.003zbMath1115.81049OpenAlexW2061702035MaRDI QIDQ877691

A. Lecheheb, Meriem Merad, Tahar Boudjedaa

Publication date: 3 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.aop.2006.08.003

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40)

Related Items (3)

Path integral of a relativistic spinning particle in (1+1) dimension with vector and scalar linear potentials in the presence of a minimal length ⋮ The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach ⋮ Path Integral for Dirac oscillator with generalized uncertainty principle

Cites Work

• Unnamed Item
• The path integral for the Kepler problem on the pseudosphere
• Particle on a conical surface
• Path integral treatment for a screened potential
• Path integral treatment of the hydrogen atom in a curved space of constant curvature. II. Hyperbolic space
• Coulomb Green’s functions, in an n-dimensional Euclidean space
• Path integration over compact and noncompact rotation groups
• Path integral representations for a system constrained on a manifold
• Explicit path integration on homogeneous spaces

This page was built for publication: Path integral treatment for a Coulomb system constrained on \(D\)-dimensional sphere and hyperboloid