Solvable potentials generated by SL(2, R)

DOI10.1088/0305-4470/23/2/010zbMath0711.22009OpenAlexW2010614179MaRDI QIDQ3496421

J. Deenen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/2/010

zbMATH Keywords

statesenveloping algebraharmonic oscillatorCoulomb forceanharmonic oscillatorsMorse potentialrepresentations of classical Lie algebrassolvable HamiltoniansHeisenberg's commutation relationquantum mechanical operatorsSL(2,\({\mathbb{R}})\) representations

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Scattering and bound state Green’s functions on a plane via so(2,1) Lie algebra ⋮ Green's functions through \(SO(2,1)\) Lie algebra in nonrelativistic quantum mechanics

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