Exact path integral solution of the Coulomb plus Aharonov–Bohm potential

DOI10.1063/1.528433zbMath0692.58049OpenAlexW2000028828MaRDI QIDQ3034578

T. F. Hammann, L. Guechi, L. Chetouani

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528433

zbMATH Keywords

path integralGreen's functionenergy spectrumCoulomb and Aharonov-Bohm potentials

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30)

Related Items

Algebraic treatment of a general noncentral potential ⋮ Algebraic treatment of super-integrable potentials ⋮ Path integral for the relativistic three-dimensional Aharonov–Bohm–Coulomb system ⋮ On solutions of Coulomb system and its generalization to the Aharonov-Bohm effect

Cites Work

• Coulomb Green’s functions, in an n-dimensional Euclidean space
• Exact solution of the Schrödinger equation with noncentral parabolic potentials
• Dynamical invariance algebra of the Hartmann potential
• Statistical mechanics with topological constraints: I