Thesu(1, 1) dynamical algebra from the Schrödinger ladder operators forN-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator

DOI10.1088/1751-8113/43/13/135201zbMath1188.81082arXiv1005.3971OpenAlexW2026682222MaRDI QIDQ3553657

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Publication date: 21 April 2010

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

Full work available at URL: https://arxiv.org/abs/1005.3971

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45) Operator algebra methods applied to problems in quantum theory (81R15)

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Exact analytical solution of the \(N\)-dimensional radial Schrödinger equation with pseudoharmonic potential via Laplace transform approach ⋮ Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime ⋮ Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules ⋮ \(su(1, 1) \simeq so(2, 1)\) Lie algebraic extensions of the Mie-type interactions with positive constant curvature

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