Remarks on the Relativistic Kepler Problem
- 15 April 1962
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 126 (2), 845-851
- https://doi.org/10.1103/physrev.126.845
Abstract
By means of a new representation, the Dirac-Coulomb spherical wave functions are treated in a manner which brings out the close formal similarity between these solutions and the spherical wave solutions for the free-electron problem. The radial functions in the new representation have the same form as the non-relativistic 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 show the existence of the Coulomb helicity operator as a constant of the motion. The advantages and properties of this formulation are discussed briefly.
Keywords
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