Energy Eigenvalues for the Coulomb Potential with Cut-Off. Part I.
- 1 December 1943
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 64 (11-12) , 358-366
- 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.Keywords
This publication has 3 references indexed in Scilit:
- Electron energy levels in NaClTransactions of the Faraday Society, 1939
- The Structure of Electronic Excitation Levels in Insulating CrystalsPhysical Review B, 1937
- A Course of Modern Analysis. By E. T. Whittaker and G. N. Watson. Fourth Edition. Pp. vi + 608. 40s.net. 1928. (Camb. Univ. Press.)The Mathematical Gazette, 1928