ThreeParticle Operators for Equivalent Electrons
Abstract
Interaction between the electronic configurations (nl)^{N} and (nl)^{N+/1}(n'l')^{/+1} can be represented for (nl)^{N} by the addition of effective threeparticle operators to the Hamiltonian, the effective twoparticle parts being absorbed by operators already present in the elementary linear theory of configuration interaction. For f electrons, the threeparticle operators are decomposed into nine operators t_{i} that are labeled by irreducible representations of R_{7} and G_{2}. The effects of three of them can be reproduced by twoparticle operators; hence, only six additional parameters are required to describe the interaction. Tables of matrix elements are given, and the properties of the operators t_{i} with respect to symplectic symmetry and quasispin are examined.
 Publication:

Physical Review
 Pub Date:
 January 1966
 DOI:
 10.1103/PhysRev.141.4
 Bibcode:
 1966PhRv..141....4J