SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

Details SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

2008-02-05

arxiv.org/abs/0802.0680v1

Physics

Quantum Physics

Scientific paper

10.1016/j.aop.2007.07.001

We show in a systematic and clear way how factorization methods can be used
to construct the generators for hidden and dynamical symmetries. This is shown
by studying the 2D problems of hydrogen atom, the isotropic harmonic oscillator
and the radial potential $A\rho^{2\zeta-2}-B\rho^{\zeta-2}$. We show that in
these cases the non-compact (compact) algebra corresponds to so(2,1) (su(2)).

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