Simplified solution of the Dirac equation with a Coulomb potential
- 15 June 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 25 (12) , 3396-3401
- https://doi.org/10.1103/physrevd.25.3396
Abstract
It is shown that the Dirac equation with a Coulomb potential has a simplified solution where each component contains one term of a confluent hypergeometric function only instead of two terms. This solution reduces to the usual free-field solution when the Coulomb potential is turned off. Thus the Dirac Coulomb equation has a solution which is not very different from the corresponding Schrödinger or Klein-Gordon equations.Keywords
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