Abstract
The formulation for the evaluation of the matrix elements over the relativisitic mass-variation and Darwin operators is presented. Calculations of these corrections have been carried out, using available analytical Hartree-Fock functions, for the positive ions, neutral systems, and negative ions for all the atoms from He to Kr.
Zusammenfassung
Die Formulierung der Matrix-Elemente des Operators der relativistischen Massen-Variation und des Darwin-Operators wird angegeben. Die Größe dieser Korrekturen wird unter Benutzung bekannter analytischer Hartree-Fock-Funktionen für die positiven Ionen, neutralen Systeme und negativen Ionen aller Atome von He bis Kr berechnet.
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References
Armstrong,L.,Jr.: Physic. Rev.170, 122(1968).
Bethe,H.A., Salpeter,E.E.: Quantum mechanics of one- and two-electron atoms. New York: Academic Press 1957.
Clementi,E.: Tables of atomic functions. San Jose: IBM 1965.
De-Shalit,A., Talmi,I.: Nuclear shell theory. New York: Academic Press 1963.
Fontana,P.R., Meath,W.J.: J. math. Physics9, 1357 (1968).
Fraga,S., Thorhallsson,J.: Physic. Rev.178, 70 (1969).
Jones,M.: J. Physics B3, 1571 (1970).
Lo,B.W.N., Saxena,K.M.S., Fraga,S.: Theoret. chim. Acta (Berl.) (in press).
Malli,G.: Canad. J. Physics44, 3121 (1966).
—, Fraga,S.: Canad. J. Physics44, 3131 (1966).
Nielson,C.W., Koster,G.F.: Spectroscopic coefficients for thep n,d n andf n configurations. Cambridge: MIT Press 1963.
Pekeris,C.L.: Physic. Rev.112, 1649 (1958).
Racah,G.: Physic. Rev.76, 1352 (1949).
Rudzikas,Z.: Liet. Fiz. Rinkinys9, 707 (1969).
—, Karaziya,R.: Liet. Fiz. Rinkinys10, 13 (1970).
Schiff,B., Lifson,H., Pekeris,C.L., Rabinowitz,P.: Physic. Rev.140, A 1104 (1965).
Sessler,A.M., Foley,H.M.: Physic. Rev.92, 1321 (1953).
Stewart,A.L.: Advan. Physics12, 299 (1963).
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This work has been supported in part by the National Research Council of Canada.
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Lo, B.W.N., Saxena, K.M.S. & Fraga, S. Mass-variation and Darwin relativistic corrections in many-electron atoms. Theoret. Chim. Acta 24, 300–306 (1972). https://doi.org/10.1007/BF01007548
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DOI: https://doi.org/10.1007/BF01007548