Algebra representations on eigenfunctions of the Rosen–Morse potential

DOI10.1063/1.527570zbMath0622.22012OpenAlexW2085662888MaRDI QIDQ3759061

M. J. Englefield

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527570

zbMATH Keywords

Schrödinger equationRosen-Morse potentialrepresentations of Lie algebra \(A_ 1\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items

Application of unitary representations of the Lorentz group to an analysis of the dynamic symmetry of one-dimensional quantum systems

Cites Work

• Group theory approach to scattering
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• Indecomposable representations of the Lorentz algebra in an angular momentum basis
• Matrix elements for indecomposable representations of complex su(2)
• Lie algebras for systems with mixed spectra. I. The scattering Pöschl–Teller potential
• Multiplicity free and finite multiplicity indecomposable representations of the algebra su(1,1)
• Inverse scattering on the line
• On the Vibrations of Polyatomic Molecules