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Dependence of the Line Strength of f–f Transitions on the Manifold Energy. I. Projector on the Basis of Nonorthogonal Functions
Author(s) -
Kornienko A. A.,
Kaminskii A. A.,
Dunina E. B.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221570126
Subject(s) - projector , basis (linear algebra) , operator (biology) , projection (relational algebra) , perturbation theory (quantum mechanics) , perturbation (astronomy) , basis function , mathematics , line (geometry) , excited state , manifold (fluid mechanics) , physics , mathematical analysis , geometry , quantum mechanics , optics , algorithm , engineering , chemistry , mechanical engineering , biochemistry , repressor , transcription factor , gene
The method of construction of effective operators in nonorthogonal basis states with the help of projection operators is suggested. According to this method the localization of the ground and excited states are preserved. The expressions for the effective operator are given in third order of perturbation theory.