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

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Article number	445203
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	43
Issue number	44
DOIs	https://doi.org/10.1088/1751-8113/43/44/445203
State	Published - 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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AU - Mota, R. D.

AU - Granados, V. D.

PY - 2010/11/5

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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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DO - 10.1088/1751-8113/43/44/445203

M3 - Artículo

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JO - Journal of Physics A: Mathematical and Theoretical

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

Abstract

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