Relativistic Coulomb wave functions in momentum space

Journal Article · Sat Jan 01 00:00:00 EST 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.49.81· OSTI ID:5289291

Sorensen, A H ^[1]; Belkacem, A ^[2]

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1. Institute of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C (Denmark)
2. Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States)

In this paper, momentum-space wave functions are obtained for unbounded relativistic motion of single electrons in a Coulomb potential. The waves are expressed in terms of a simple contour integral which is easily evaluated numerically. Various examples for motion around a bare uranium nucleus are displayed including negative-energy solutions and dependence on partial-wave angular momentum.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5289291
• Journal Information: Physical Review A; (United States), Vol. 49:1; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
WAVE FUNCTIONS
RELATIVISTIC RANGE
ATOM COLLISIONS
BOUND STATE
COULOMB FIELD
ELECTRONS
PARTIAL WAVES
URANIUM
ACTINIDES
COLLISIONS
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY RANGE
FERMIONS
FUNCTIONS
LEPTONS
METALS
661300* - Other Aspects of Physical Science- (1992-)