Nakatsuji H, Nakashima H. Analytically solving the relativistic Dirac-Coulomb equation for atoms and molecules.
PHYSICAL REVIEW LETTERS 2005;
95:050407. [PMID:
16090858 DOI:
10.1103/physrevlett.95.050407]
[Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2005] [Indexed: 05/03/2023]
Abstract
A method of solving the Schrödinger equation in an analytically expanded form reported previously is extended to the relativistic case and a general method of exactly solving the Dirac-Coulomb equation has been proposed for atoms and molecules. Some problems characteristic of the relativistic case are discussed. Test applications to the hydrogen-like, helium-like atoms are satisfactory, implying a high potentiality of the proposed method also for the relativistic case.
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