The generalized Morse oscillator in the SO(4,2) dynamical group scheme

DOI10.1063/1.527646zbMath0621.70017OpenAlexW1973009888MaRDI QIDQ3758278

Raj Wilson, Akira Inomata, Asim O. Barut

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527646

zbMATH Keywords

wave equationSchrödinger equationspecial orthogonal groupquantum oscillatorMorse oscillatorMorse potentialgroup of transformationssix dimensional vector space

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Applications of linear algebraic groups to the sciences (20G45) Linear vibration theory (70J99)

Related Items (7)

A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation ⋮ From the generalized Morse potential to a unified treatment of the \(D\)-dimensional singular harmonic oscillator and singular Coulomb potentials ⋮ Generalized polyspheroidal periodic functions and the quantum inverse scattering method ⋮ Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential ⋮ On a time-dependent extension of the Morse potential ⋮ Integrable anharmonic potentials for stretching and bending molecular vibrations ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential

Cites Work

• Group theory approach to scattering

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