Characteristic operators and unitarily invariant decomposition of hermitian operators
- 1 January 1983
- journal article
- research article
- Published by Wiley in International Journal of Quantum Chemistry
- Vol. 23 (1) , 217-226
- https://doi.org/10.1002/qua.560230120
Abstract
A set of characteristic operators {F} is proposed for performing the decomposition of p‐particle Hermitian operators {Dp} to constitute irreducible components {D} of the unitary group D = FDp, 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.Keywords
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