Premium
Characteristic operators and unitarily invariant decomposition of hermitian operators
Author(s) -
AuChin Tang,
Hong Guo
Publication year - 1983
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.560230120
Subject(s) - hermitian matrix , unitary state , mathematics , invariant (physics) , pure mathematics , operator theory , sesquilinear form , algebra over a field , mathematical physics , political science , law
A set of characteristic operators { F q p ′ p } is proposed for performing the decomposition of p ‐particle Hermitian operators { D p } to constitute irreducible components { D q p } of the unitary group D q p= F q pp D p , q = 0,1,2,…, p . For a deeper expolration of the properties of the characteristic operators, a few theorems are presented. As an illustration, the expected values for symmetric p ‐particle Hermitian operators are obtained as a number of terms having invariant group‐theoretical meaning.