GROUP THEORETIC APPROACH FOR A DIRAC PARTICLE IN COULOMB-LIKE POTENTIALS

Authors
PANCHANAN S ROY B ROYCHOUDHURY R
Citation
S. Panchanan et al., GROUP THEORETIC APPROACH FOR A DIRAC PARTICLE IN COULOMB-LIKE POTENTIALS, Journal of physics. A, mathematical and general, 28(22), 1995, pp. 6467-6477
Citations number
43
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
22
Year of publication
1995
Pages
6467 - 6477
Database
ISI
SICI code
0305-4470(1995)28:22<6467:GTAFAD>2.0.ZU;2-7
Abstract
The energy levels of the Dirac equation with a Kohn-Sham (KS) potentia l are obtained using algebraic perturbation theory based on the dynami cal group structure SO(2, 1) without making any non-relativistic appro ximation. It has been shown that this formalism reproduces the exact a nalytical result for the eigenvalues of the Dirac equation with both v ector and scalar Coulomb potentials. The lowest-order results obtained from the analytical formulae are found to be in excellent agreement w ith exact numerical results.