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Number of results

Journal

2011 | 9 | 3 | 751-774

Article title

Irreducible tensor form of three-particle operator for open-shell atoms

Content

Title variants

Languages of publication

EN

Abstracts

EN
A three-particle operator in a second quantized form is studied systematically and comprehensively. The operator is transformed into irreducible tensor form. Possible coupling schemes, identified by the classes of symmetric group S6, are presented. Recoupling coefficients that make it possible to transform a given scheme into another are produced by using the angular momentum theory combined with quasispin formalism. The classification of the three-particle operator which acts on n = 1, 2,..., 6 open shells of equivalent electrons of atom is considered. The procedure to construct three-particle matrix elements are examined.

Publisher

Journal

Year

Volume

9

Issue

3

Pages

751-774

Physical description

Dates

published
1 - 6 - 2011
online
26 - 2 - 2011

Contributors

  • Institute of Theoretical Physics and Astronomy of Vilnius University, A. Goštauto 12, LT-01108, Vilnius, Lithuania
  • Institute of Theoretical Physics and Astronomy of Vilnius University, A. Goštauto 12, LT-01108, Vilnius, Lithuania

References

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  • [5] R. Karazija, Introduction to the Theory of X-ray and Electronic Spectra of Free Atoms (Plenum Press, New York, 1996)
  • [6] G. Merkelis, R. Karazija, J. Electron Spectrosc. 133, 123 (2003) http://dx.doi.org/10.1016/j.elspec.2003.09.004[Crossref]
  • [7] B.R. Judd, Second Quantization and Atomic Spectroscopy (The Johns Hopkins Press, Baltimore, 1967)
  • [8] B.R. Judd, Operator Techniques in Atomic Spectroscopy (McGraw-Hill, New York, 1963)
  • [9] Z. Rudzikas, J. Kaniauskas, Quasispin and Isospin in the Theory of Atom (Mokslas publishers, Vilnius, 1984)
  • [10] Z. Rudzikas, Theoretical Atomic Spectroscopy (Cambridge University Press, Cambridge, 1997) http://dx.doi.org/10.1017/CBO9780511524554[Crossref]
  • [11] G. Merkelis, Phys. Scripta 61, 662 (2000) http://dx.doi.org/10.1238/Physica.Regular.061a00662[Crossref]
  • [12] S.G. Porsev, A. Derevianko, Phys. Rev. A 73, 012501 (2006) http://dx.doi.org/10.1103/PhysRevA.73.012501[Crossref]
  • [13] G. Gaigalas, Z. Rudzikas, Ch.F. Fischer, J. Phys. B-At. Mol. Opt. 30, 3747 (1997) http://dx.doi.org/10.1088/0953-4075/30/17/006[Crossref]
  • [14] G. Gaigalas, S. Fritzsche, I.P. Grant, Comput. Phys. Commun. 139, 263 (2001) http://dx.doi.org/10.1016/S0010-4655(01)00213-2[Crossref]
  • [15] R. Juršėnas, G. Merkelis, Cent. Eur. J. Phys. 8, 480 (2009)
  • [16] R. Juršėnas, G. Merkelis, Atom. Data Nucl. Data, DOI:10.1016/j.adt.2010.08.001 [Crossref]
  • [17] A. Jucys, Y. Levinson, V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum (Israel Program for Scientific Translations, Jerusalem, 1964)
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  • [19] S. Ališauskas, arXiv:math/9912142
  • [20] S. Ališauskas, arXiv:math-ph/0509035

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-010-0082-0
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