Green's functions through \(SO(2,1)\) Lie algebra in nonrelativistic quantum mechanics

DOI10.1016/0003-4916(91)90370-NzbMath0743.33010WikidataQ115368744 ScholiaQ115368744MaRDI QIDQ1181763

Henrique Boschi-Filho, Arvind Narayan Vaidya

Publication date: 27 June 1992

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

zbMATH Keywords

Green's functionenergy spectrumwave functionsCoulomb potentialnonrelativistic quantum mechanicsdynamical algebra\(SO(2,1)\) Lie algebrabound state spectraone-dimensional Morse potential

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items

Scattering and bound state Green’s functions on a plane via so(2,1) Lie algebra ⋮ Evaluation of Schwinger–de Witt kernels for spin-2̄1 fields through the SO(2,1) Lie algebra ⋮ New BCH-like relations of the \(su(1,1)\), \(su(2)\) and \(so(2,1)\) Lie algebras ⋮ Algebraic treatment of super-integrable potentials ⋮ Exact solvability of potentials with spatially dependent effective masses

Cites Work

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• Single-variable realisation of the SU(1,1) spectrum generating algebra and discrete eigenvalue spectra of a class of potentials
• Significance of Electromagnetic Potentials in the Quantum Theory
• Branching rules for E₈↓SO₁₆
• Path integral solution of a class of potentials related to the Poschl-Teller potential
• Solvable potentials generated by SL(2, R)
• Algebraic calculation of the Green’s function for the Hartmann potential
• Exact solution of the Schrödinger equation with noncentral parabolic potentials
• The Factorization Method
• On Gauge Invariance and Vacuum Polarization

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