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Energy Eigenvalues for the Coulomb Potential with Cut-Off. Part I.
Phys. Rev. 64, 358 – Published 1 December, 1943
DOI: https://doi.org/10.1103/PhysRev.64.358
Abstract
In this paper, the Schrödinger equation is solved analytically for the Coulomb potential with horizontal cut-off. For this purpose, a detailed mathematical study of the confluent hypergeometric functions is carried out and their similarity to Bessel and Neumann functions is put on a quantitative basis. The resulting formulas for the energy levels are valid for all cases except when the energy is lying very little above the cut-off.
References (6)
- G. H. Wannier, Phys. Rev. 52, 191 (1937)
- S. R. Tibbs, Trans. Faraday Soc. 35, 1471 (1939)
- E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press), Chapter XVI
- H. A. Bethe, Handbuch der Physik, second edition, Vol. XXIV, 1, p. 287
Omitted endnote
Omitted endnote