Finite-basis-set approach to the Dirac equation for atoms in a Dirac-Fock-Slater potential

Takeshi Mukoyama, Chii Dong Lin

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A finite set of Slater-type orbitals is used as a basis to solve the Dirac equation for atoms in a Dirac-Fock-Slater potential. The energy eigenvalues thus obtained are in good agreement with the results from the numerical solution of the Dirac equation except that a spurious root always occurs for >0. It is shown that despite this spurious root the method still gives good approximate atomic energy eigenvalues and wave functions. This implies that the finite-basis-set expansion method can be applied to relativistic atomic structure and atomic collision calculations.

Original languageEnglish
Pages (from-to)4942-4945
Number of pages4
JournalPhysical Review A
Issue number12
Publication statusPublished - Jan 1 1987


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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