Algebraic calculation of the Green’s function for the Hartmann potential

DOI10.1063/1.528643zbMath0711.22013OpenAlexW2054441361MaRDI QIDQ3496425

Arvind Narayan Vaidya, Henrique Boschi-Filho

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528643

zbMATH Keywords

Green's functionLie algebracoherent stateHartmann potentialBaker-Campbell-Hausdorff formulasbound state energy spectrum

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Applications of hypergeometric functions (33C90)

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Cites Work

• Coherent states for arbitrary Lie group
• Exact solution of the Schrödinger equation with noncentral parabolic potentials
• Dynamical invariance algebra of the Hartmann potential
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• On Gauge Invariance and Vacuum Polarization