Abstract
The exact solution of the Dirac equation with a central potential, in the semi-relativistic approximation, is derived and formulae for phase shifts and eigenvalue equations are given.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Kanellopoulos, E. J., Kanellopoulos, Th. V., Wildermuth, K.: Commun. math. Phys.24, 225 (1972).
Commun. math. Phys.24, 233 (1972).
Darwin, C. G.: Proc. Roy. Soc. A118, 654 (1928).
Mott, N. F.: Proc. Roy. Soc. A124, 426 (1929).
——, Massey, H. S. W.: The theory of atomic collisions: 3rd Ed. Ch. IX. Oxford: Clarendon Press 1965.
Ronveaux, A.: Am. J. Phys.37, 135 (1969).
Parzen, G.: Phys. Rev.80, 261 (1950).
Bateman Project: Higher transcendental functions, Vol. II, Ch. VII. New York: McGraw Hill Book Co. Inc. 1953.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kanellopoulos, E.J., Kanellopoulos, T.V. & Wildermuth, K. Exact solution of the Dirac equation with a central potential. Commun.Math. Phys. 27, 155–161 (1972). https://doi.org/10.1007/BF01645618
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645618