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EXACT SOLUTIONS OF THE DIRAC EQUATION WITH A COULOMB PLUS SCALAR POTENTIAL IN 2 + 1 DIMENSIONS

SHI-HAI DONG

Institute of High Energy Physics, Beijing 100039, People's Republic of China

Instituto de Ciencias Nucleares, UNAM, Apdo. Postal. 70-543, Circuito Exterior, C. U. 04510 Mexico, D. F., Mexico

Programa de Ingenieria Molecular, Instituto Mexicano del Petróleo, Lázaro Cárdenas 152, 07730 Mexico, D. F, Mexico

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XIAO-YAN GU

Institute of High Energy Physics, Beijing 100039, People's Republic of China

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ZHONG-QI MA

Institute of High Energy Physics, Beijing 100039, People's Republic of China

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SHISHAN DONG

Center of Computation, Dalian University, Dalian 116622, People's Republic of China

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https://doi.org/10.1142/S0218301302001046Cited by:17 (Source: Crossref)

Abstract

The exact solutions of the (2+1)-dimensional Dirac equation with a Coulomb potential and a scalar one are analytically presented by studying the second-order differential equations obtained from a pair of coupled first-order ones. The eigenvalues are studied in some detail.

Keywords:

PACS: 03.65. Pm, 03.65.Ge