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Tensorial Coupling and the Reduced Matrix Elements of One‐ and Two‐Body Operators
Author(s) -
Tuszyński J. A.,
Dixon J. M.
Publication year - 1985
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.2221270215
Subject(s) - tensor (intrinsic definition) , operator (biology) , rank (graph theory) , matrix (chemical analysis) , coupling (piping) , zero (linguistics) , contrast (vision) , mathematics , tensor operator , pure mathematics , algebra over a field , computer science , mathematical analysis , combinatorics , chemistry , engineering , artificial intelligence , mechanical engineering , biochemistry , linguistics , philosophy , repressor , chromatography , spherical harmonics , transcription factor , gene
Abstract The reduced matrix elements of products of tensor operators, coupled to form a non‐zero rank, are investigated to emphasize the importance of correctly incorporating all tensorial couplings. It has recently been realized that serious inaccuracies can arise, in some cases, unless the complete many body nature of the full operator and the states involved is properly incorporated. Exact results are presented for one‐ and two‐body operators which include all couplings and compare and contrast them with some approximate methods.