REMARKS ON THE RELATIVISTIC KEPLER PROBLEM
Journal Article
·
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
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- Physical Review (U.S.) Superseded in part by Phys.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, Vol. Vol: 126; Other Information: Orig. Receipt Date: 31-DEC-62
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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