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

被引：9

作者：

Salazar-Ramirez, M. ^{[1
]}

Martinez, D. ^{[2
]}

Mota, R. D. ^{[3
]}

Granados, V. D. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Escuela Super Fis & Matemat, Unidad Profes Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico

[2] Univ Autonoma Ciudad Mexico, Mexico City 07160, DF, Mexico

[3] IPN, Unidad Profes Interdisciplinaria Ingn & Tecnol Av, Mexico City 07340, DF, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 44期

关键词：

HYDROGEN-ATOM; DIRAC-COULOMB; NONUNITARY REPRESENTATIONS; UNIFIED TREATMENT; LIE-ALGEBRAS; SUSY QM; SCATTERING; EQUATION; SUPERSYMMETRY; SYSTEMS;

D O I：

10.1088/1751-8113/43/44/445203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We apply the Schrodinger 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.

引用

页数：9

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