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ON THE SUPERSYMMETRY OF THE DIRAC–KEPLER PROBLEM PLUS A COULOMB-TYPE SCALAR POTENTIAL IN (D+1) DIMENSIONS AND THE GENERALIZED LIPPMANN–JOHNSON OPERATOR

Universidad Autónoma de la Ciudad de México, Plantel Cuautepec, Av. La Corona 320, Col. Loma la Palma, Delegación Gustavo A. Madero, 07160, México D. F., México

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M. SALAZAR-RAMÍREZ

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D F, México

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R. D. MOTA

Escuela Superior de Ingeniería Mecánica y Eléctrica, Unidad Culhuacán, Instituto Politécnico Nacional, Av. Santa Ana No. 1000, Colonia San Francisco Culhuacán, Delegación Coyoacán, C. P. 04430, México D. F., Mexico

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, and

V. D. GRANADOS

Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, 07738 México D F, México

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https://doi.org/10.1142/S0217732313500429Cited by:2 (Source: Crossref)

Abstract

We will study the Dirac–Kepler problem plus a Coulomb-type scalar potential by generalizing the Lippmann–Johnson operator to D spatial dimensions. From this operator, we construct the supersymmetric generators to obtain the energy spectrum for discrete excited eigenstates and the radial spinor for the SUSY ground state.

Keywords:

PACS: 03.65.Ge, 03.65.Pm, 11.30.Pb

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