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Graphical unitary group approach to arbitrary spin representations
Author(s) -
Kent R. D.,
Schlesinger M.
Publication year - 1986
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560300603
Subject(s) - unitary state , generalization , group (periodic table) , representation (politics) , unitary group , matrix representation , computer science , graph , atomic orbital , matrix (chemical analysis) , algebra over a field , theoretical computer science , spin (aerodynamics) , unitary matrix , table (database) , mathematics , pure mathematics , physics , quantum mechanics , electron , data mining , chemistry , mathematical analysis , chromatography , politics , political science , law , thermodynamics
A graph theoretic approach to the representation of N particle systems involving arbitrary single‐particle spin is presented. The method is a generalization of the Distinct Row Table ( DRT ) technique employed by Shavitt in developing the graphical unitary group approach ( GUGA ) to electronic spin‐orbitals. A detailed analysis of the DRT and GUGA representations is presented based on several theoretical considerations and computer‐tested implementations. The use of the representation to establish rules concerning the evaluation of the matrix elements of the group generators is also discussed.