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

Abstract

We apply the Schrödinger factorization to construct the ladder operators for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions. By generalizing these operators we show that the dynamical algebra for these problems is the $su(1,1)$ Lie algebra.

10 pages

References in corpus (3)

• Supersymmetry and Quantum Mechanics
• SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems
• Complete Analytic Solutions of the Mie-type Potentials in N-Dimensions

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