REMARKS ON THE RELATIVISTIC KEPLER PROBLEM

Journal Article · Sun Apr 15 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.126.845· OSTI ID:4840661

Biedenharn, L C

The Dirac-Coulomb (D-C) spherical wave functions are treated in a manner that brings out the close formal similarity between these solutlons and the spherical wave solutions for the free-electron problem. The radial functions in the (D-C) representation have the same form as the nonrelativistic radial Coulomb functions, but with an irrational orbital angular momentum.'' This representation is utilized to deduce a general recursion relation for radial Coulomb eigenfunctions, and to show the existence of the Coulomb helicity operator as a constant of the motion. The properties of this formulation are discussed. (auth)

• Research Organization: Duke Univ., Durham, N.C.
• NSA Number: NSA-16-018605
• OSTI ID: 4840661
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 126; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ANGULAR MOMENTUM
DIRAC EQUATIONS
ELECTRIC POTENTIAL
ELECTRONS
HELICITY
INTERACTIONS
MOMENTUM
MOTION
OPERATORS
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN