EXACT SOLUTIONS TO THE DIRAC EQUATION FOR A COULOMB POTENTIAL IN D + 1 DIMENSIONS-Reference-Cited by-同舟云学术

EXACT SOLUTIONS TO THE DIRAC EQUATION FOR A COULOMB POTENTIAL IN D + 1 DIMENSIONS

Published:2002-08 Issue:04 Volume:11 Page:335-346
ISSN:0218-3013
Container-title:International Journal of Modern Physics E
language:en
Short-container-title:Int. J. Mod. Phys. E

Author:

GU XIAO-YAN¹,MA ZHONG-QI¹,DONG SHI-HAI²

Affiliation:

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

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

Abstract

The Dirac equation is generalized to D + 1 space-time. The conserved angular momentum operators and their quantum numbers are discussed. The eigenfunctions of the total angular momenta are calculated for both odd D and even D cases. The radial equations for a spherically symmetric system are derived. The exact solutions for the system with a Coulomb potential are obtained analytically. The energy levels and the corresponding fine structure are also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218301302000879

Reference19 articles.

1. Generalized orbital angular momentum and the n-fold degenerate quantum-mechanical oscillator

2. Generalized orbital angular momentum and the n-fold degenerate quantum-mechanical oscillator

3. Generalized orbital angular momentum and the n-fold degenerate quantum-mechanical oscillator

4. Large-N expansions in quantum mechanics, atomic physics and some O(N) invariant systems

5. Group Theory and the Hydrogen Atom (I)

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