On the Unitary Group and Associated Operators

Abstract

A field theoretic formulation of many-electron problems relying on the principles of the orbital unitary group adaptation of N-electron states is presented. Fock-space one- and two-operators are provided to create and annihilate such adapted electron states. The associated algebra is utilised to effect orbital level-wise factorisation of the matrix-elements of any number-conserving spinless operator such as the Hamiltonian. Other potential uses of the operators are indicated.