Algebraic treatment of a general noncentral potential

DOI10.1063/1.529889zbMath0787.22023OpenAlexW2069698679MaRDI QIDQ4030944

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

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529889

zbMATH Keywords

noncentral potentialKustaanheimo-Stiefel transformation\(SO(2,1)\)Baker- Campbell-Hausdorff formulasSchwinger integral representation of Green's function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with quantum mechanics (35Q40)

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Cites Work

• Exact path integral solution of the Coulomb plus Aharonov–Bohm potential
• Significance of Electromagnetic Potentials in the Quantum Theory
• Algebraic calculation of the Green’s function for the Hartmann potential
• Exact solution of the Schrödinger equation with noncentral parabolic potentials
• Dynamical invariance algebra of the Hartmann potential
• Group Dynamics of Elementary Particles
• On Gauge Invariance and Vacuum Polarization