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Atomic Energy Levels for the Thomas-Fermi and Thomas-Fermi-Dirac Potential
Abstract
The eigenvalues of the Schr\"odinger equation have been obtained for the Thomas-Fermi and Thomas-Fermi-Dirac atomic potentials. Electron self-interactions were taken into account by modifying the potentials to give asymptotically the field of a unit charge. All levels were treated from $1s$ to $7d$ for a range of $Z$-values sufficient to permit easy interpolation. It was found that the energies, for either the Thomas-Fermi or Thomas-Fermi-Dirac potentials, agree in general as well with experimental ionization energies as the Hartree or Hartree-Fock approximations. Applications of the statistical potential to other atomic problems are indicated.
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Citations
Cited by
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Huang, K.-N., Aoyagi, M., Chen, M. H., Crasemann, B., & Mark, H. (1976) · Atomic Data and Nuclear Data Tables · doi:10.1016/0092-640x(76)90027-9 · Cited by 538
Analytic Independent-Particle Model for Atoms
Green, A. E. S., Sellin, D. L., & Zachor, A. S. (1969) · Physical Review · doi:10.1103/physrev.184.1 · Cited by 455
Orbital electron capture by the nucleus
Bambynek, W., Behrens, H., Chen, M. H., Crasemann, B., Fitzpatrick, M. L., Ledingham, K. W. D., Genz, H., Mutterer, M., & Intemann, R. L. (1977) · Reviews of Modern Physics · doi:10.1103/revmodphys.49.77 · Cited by 441
Metadata
- Authors
- Latter, R.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1955-07-15
- Volume
- 99
- Issue
- 2
- Pages
- 510-519
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2086628812
- Cited by
- 509
- References
- 0
- FWCI
- 4.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Latter, R. (1955). Atomic Energy Levels for the Thomas-Fermi and Thomas-Fermi-Dirac Potential. Physical Review. https://doi.org/10.1103/physrev.99.510
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