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NOTE ON RELATIVISTIC COULOMB WAVE FUNCTIONS

Journal Article · · Z. Physik
DOI:https://doi.org/10.1007/BF01340460· OSTI ID:4328187
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Some results on the wave functions of a Dirac particle in a point charge Coulomb field are presented. Angular momentum and parity eigenfunctions are tabulated and used to construct solutions representing asymptoticaily a plane wave plus incoming or outgoing spherical waves. The solutions for r yields 0 are exhibited in a form closely similar to the corresponding free particle spinors and are used to construct generalizations of the Casimir projection operators for positive or negative energy particles. The various wave functions presented are useful in calculations such as nuclear beta decay in which it is necessary to take into account final (or initial) state Coulomb interactions. Because of the similarity of the wave functions to those of a free particle, calculations including rigorously all Coulomb corrections for such processes as allowed beta decay can be performed with litile more effort than is involved in a calculation using only plane waves. (auth)
Research Organization:
Univ. of Illinois, Urbana; Princeton Univ., N.J.
Sponsoring Organization:
USDOE
NSA Number:
NSA-12-009541
OSTI ID:
4328187
Journal Information:
Z. Physik, Journal Name: Z. Physik Vol. Vol: 150
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

ANGULAR MOMENTUM-- EIGENFUNCTIONS-- MATHEMATICS-- MOMENTUM-- PARITY-- QUANTUM MECHANICS-- TABLES-- WAVE FORMS
CASIMIR OPERATORS-- ENERGY-- PARTICLES-- SPIN-- SPINOR-- VECTORS
PHYSICS