Interaction Using Kramers Pair Creation Operators

CONFIGURATION INTERACTION USING KRAMERS PAIR CREATION OPERATORS 

We are now in a position to generate a set of many-electron states of a given symmetry for use in configuration interaction calculations [8]. Suppose that our iV-electron system has a total Hamiltonian of the form 

The simple form of this operator is due to the fact that the creation and annihilation operators b bs refer to one-electron spin-orbitals which are eigenfunctions of the core Hamiltonian hc with one-electron energies es. 

Often configuration interaction calculations are performed after an initial Hartree-Fock calculation. In such cases the one-electron creation and annihilation operators would refer to eigenfunctions of the Fock operator, and the Fock operator would have a simple form similar to that shown in equation (53). 

In second-quantized notation, the operator representing interelectron repulsion has the form  

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Configuration interaction using Kramers pair creation operators 193... 

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