An su(1, 1) algebraic approach for the relativistic Kepler-Coulomb problem

M. Salazar-Ramírez; D. Martíinez; R. D. Mota; V. D. Granados

doi:10.1088/1751-8113/43/44/445203

An su(1, 1) algebraic approach for the relativistic Kepler-Coulomb problem

M. Salazar-Ramírez, D. Martíinez, R. D. Mota, V. D. Granados

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

8 Citas (Scopus)

Resumen

We apply the Schrödinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the su(1, 1) Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.

Idioma original	Inglés
Número de artículo	445203
Publicación	Journal of Physics A: Mathematical and Theoretical
Volumen	43
N.º	44
DOI	https://doi.org/10.1088/1751-8113/43/44/445203
Estado	Publicada - 5 nov. 2010

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abstract = "We apply the Schr{\"o}dinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the su(1, 1) Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.",

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N2 - We apply the Schrödinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the su(1, 1) Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.

AB - We apply the Schrödinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the su(1, 1) Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.

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An su(1, 1) algebraic approach for the relativistic Kepler-Coulomb problem

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