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Group theory approach to the Dirac equation with a Coulomb plus scalar potential in D+1 dimensions

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: S. H. Dong, G. H. Sun, Dusan Popov

Editorial: Journal of Mathematical Physics, 44 (10), p.4467 - 447, 2003.

Rezumat:

We generalize the Dirac equation to D+1 space–time. The conserved angular
momentum operators and their quantum numbers are discussed. The eigenfunctions
of the total angular momentums are calculated for both odd D and even D cases.
The exact solutions of the D+1-dimensional radial equations of the Dirac equation
with a Coulomb plus scalar potential are analytically presented by studying the
Tricomi equations obtained from a pair of coupled first-order ones. The eigenvalues
are also discussed in some detail.

Cuvinte cheie: group theory, Dirac equation, Coulomb potential