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- Title
Spurious states of the dirac equation in a finite basis set.
- Authors
Tupitsyn, I. I.; Shabaev, V. M.
- Abstract
The occurrence of spurious states for the Dirac equation in a finite basis set is considered. For a Coulomb central-field potential, the spectra of the radial Dirac operator in a finite basis set (without using the kinetic balance) are shown to coincide for two different values of the relativistic quantum number κ that differ in sign. For an attractive Coulomb potential, this means that, for any basis set, spurious states p 1/2, d 3/2, ... (κ > 0) arise, whose energies exactly coincide with energies of the states 1 s 1/2, 2 p 3/2, ... (κ < 0), respectively. In addition, the negative spectra of the Dirac operator in a finite basis set for κ > 0 and κ < 0 also coincide.
- Subjects
DIRAC equation; COULOMB potential; SPECTRUM analysis; RELATIVISTIC quantum theory; QUANTUM field theory
- Publication
Optics & Spectroscopy, 2008, Vol 105, Issue 2, p183
- ISSN
0030-400X
- Publication type
Article
- DOI
10.1134/S0030400X08080043