Abstract
The modern methods of theoretical investigation of the structure and spectra of multielectron atoms and ions are briefly reviewed. The questions of taking into account the symmetry properties of the systems studied and the principles of construction of special mathematical machinery for atomic calculations are discussed. The stationary perturbation series is extended to atoms with several unfilled shells and explicit expressions are derived for the average characteristics of the spectra. Simplified methods for determining the radiative lifetimes are also examined.
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Literature cited
A. A. Nikitin and Z. B. Rudzikas, Principles of the Theory of the Spectra of Atoms and Ions [in Russian], Nauka, Moscow (1983).
Z. B. Rudzikas and Yu. M. Kanyauskas, Quasispin and Isospin in the Theory of the Atom [in Russian], Mokalas, Vil'nyus (1984).
R. I. Karaziya, Introduction to the Theory of X-ray and Electronic Spectra of Free Atoms [in Russian], Mokalas, Vil'nyus (1987).
A. Yu. Bernotas, R. A. Naryavichyus, and Yu. M. Kanyauskas, Abstracts of Reports on the Theory of Atoms and Atomic Spectra, Tomsk (1989), p. 24.
A. P. Yutsis and A. A. Bandzaitis, The Theory of Angular Momentum in Quantum Mechanics [in Russian], Mokslas, Vil'nyus (1977).
A. P. Yutsis and A. Yu. Savukinas, Mathematical Principles of the Theory of the Atom [in Russian], Mintis, Vil'nyus (1973).
P. O. Bogdanovich, Collection of Computer Programs for Atomic Calculations [in Russian], Mintis, Vil'nyus (1985), No. 14, pp. 3–13.
G. V. Merkelis, G. A. Gaigalas, Yu. M. Kanyauskas, and Z. B. Rudzikas, Izv. Akad. Nauk SSSR, Ser. Fiz.,50, 1403–1410 (1986).
G. V. Merkelis, G. A. Gaigalas, and Z. B. Rudzikas, Litovsk. fiz. sb.,25, No. 6, 14–31 (1985).
G. V. Merkelis and G. A. Gaigalas, Spectroscopy of Autoionization States of Atoms and Ions [in Russian], Scientific Council on Spectroscopy of the Academy of Sciences of the USSR, Moscow (1985), pp. 20–42.
C. Froese-Fischer and H. P. Saha, Phys. Scripta,32, No. 3, 181 (1985).
K. T. Cheng, Y. -K. Kim, and J. P. Desclaux, At. Dat. Nucl. Dat. Tables,24, No. 2, 111 (1979).
Yu. S. Kas'yanov, é. Ya. Kononov, V. V. Korobkin, et al., Opt. Spektrosk.,35, No. 6, 1005–1012 (1973).
J. Lindgren and J. Morrison, Atomic Many-Body Theory, Springer Series in Chemical Physics, Springer-Verlag, Berlin (1982), Vol. 13.
J. C. Slater, Quantum Theory of Atomic Structure, Vol. 1, McGraw Hill, New York (1960).
C. Bauche-Arnoult, J. Bauche, and M. Klapisch. Phys. Rev. A,20, No. 6, 2424 (1979).
C. Bauche-Arnoult, J. Bauche, and M. Klapisch, Phys. Rev. A,25, No. 5, 2641 (1982).
J. N. Ginocchio, Phys. Rev. C,8, No. 1, 135 (1973).
R. I. Karaziya and L. S. Rudzikaite, Litovsk. fiz. sb.,28, No. 3, 294 (1988).
R. I. Karaziya, Litovsk. fiz. sb.,29, No. 2, 131 (1989).
R. I. Karaziya, Sums of Atomic Quantities and the Average Characteristics of Spectra [in Russian], Mokslas, Vil'nyus (1990).
L. S. Rudzikaite and R. I. Karaziya, Litovsk. fiz. sb.,29, No. 2, 143 (1989).
C. E. Moore, Atomic Energy Levels, National Bureau of Standards, Washington (1949), Vol. 1; Vol. 2 (1952); Vol. 3 (1958).
Yu. F. Zaikin, A. V. Loginov, A. A. Ramonas, and A. N. Ryabtsev. Litovsk. fiz. sb.,23, No. 3, 83 (1983).
S. A. Kuchas and R. I. Karaziya, Litovsk. fiz. sb.,29, No. 3, 275 (1989).
P. O. Bogdanovich, G. L. Zhukauskas, A. P. Momkauskaite, and V. I. Tutlis, Litovsk. fiz. sb.,25, No. 6, 43–53 (1985).
P. O. Bogdanovich, G. L. Zhukauskas, and A. P. Momkauskaite, Opt. Spektrosk.,64, No. 4, 715–720 (1988).
A. V. Loginov and P. F. Gruzdev, Opt. Spektrosk.,44, No. 2, 209–213 (1978).
P. O. Bogdanovich and A. P. Momkauskaite, Abstracts of Reports at the 20th All-Union Conference on Spectroscopy, Kiev (1988), Part 1, p. 18.
P. O. Bogdanovich, G. L. Zhukauskas, A. P. Momkauskaite, and S. D. Shadzhyuvene, 10th All-Union Conference on the Theory of Atoms and Atomic Spectra [in Russian], Tomsk (1989), p. 50.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 6–17, August, 1990.
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Bogdanovich, P.O., Kanyauskas, Y.M., Karaziya, R.I. et al. Modern aspects of the theory of the spectra of multielectron atoms. Soviet Physics Journal 33, 631–640 (1990). https://doi.org/10.1007/BF00892297
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DOI: https://doi.org/10.1007/BF00892297