A Relativistic WKB Method for Bound States of an Electron in Screened Coulomb Potentials

概要

論文の詳細を見る
A difficulty is pointed out about the eigenvalue condition of the relativistic WKBmethod proposed by Good [Phys. Rev. 90 (1953) 1314. To overcome this difficulty, analternative WKB eigenvalue condition is derived, based on the same idea as that usedby Goldberg et al. [Phys. Rev. A 39 (1989) 506] for continuum problems of an elec-tron in screened Coulomb potentials. A detailed numerical examination indicates thatthe newly obtained WKB eigenvalue condition yields a good approximation to the ex-act eigenvalues. As an application of practical use, one-electron energies of atomsand positive ions are evaluated using effective potentials determined from therelativistic Thomas-Fermi-Dirac-Weizsficker model proposed by Tomishima [Progr.Theor. Phys. 42 (1969) 437]. The result is in good agreement with the relativistic SCFresults.
社団法人日本物理学会の論文
1991-03-15