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Simplified solution of the Dirac equation with a Coulomb potential

Journal Article · · Phys. Rev. D; (United States)
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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 Schroedinger or Klein-Gordon equations.
Research Organization:
Fairfield University, Fairfield, Connecticut 06430
OSTI ID:
5192901
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 25:12; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BOUND STATE
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENFUNCTIONS
ELECTRIC FIELDS
EQUATIONS
FUNCTIONS
HYPERGEOMETRIC FUNCTIONS
KLEIN-GORDON EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
WAVE EQUATIONS