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SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems |
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| Authors: | D. Martí nez,R.D. Mota |
| Affiliation: | a Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D.F., Mexico b Unidad Profesional Interdisciplinaria de Ingeniería y Tecnologías Avanzadas, IPN. Av. Instituto Politécnico Nacional 2580, Col. La Laguna Ticomán, Delegación Gustavo A. Madero, 07340 Mexico D.F., Mexico |
| Abstract: | 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 Aρ2ζ−2 − Bρζ−2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)). |
| Keywords: | SUSY QM Spectrum generating algebras Symmetry Lie algebras |
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