Quantum Mechanics of H‐Atom from Path Integrals

1982/01/01 by I. H. Duru, H. Kleinert · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Atomic and Molecular Physics

paper · doi:10.1002/prop.19820300802

openalex publication_date 1982/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

Abstract The quantum mechanical Coulomb problem in two and three dimensions is solved completely in terms of path integrals. We derive the integral representations for the Green's functions in configuration space and recover the wave functions from factorized residues.

Citations

• Formulas and Theorems for the Special Functions of Mathematical Physics
• Solution of the path integral for the H-atom

Cited by

• Green function of the double-fractional Fokker-Planck equation: Path integral and stochastic differential equations
• Hydrogen atom [wikipedia]