Parastatistics and the Clifford algebra unitary group approach to the many-electron correlation problem

Abstract

It is shown that the Clifford algebra unitary group approach, which is based on the subgroup chain U(2n)⊇SO(2n+1)⊇SO(2n)⊇U(n), may be described in terms of the para-Fermi algebra. Applications to the development of efficient algorithms for the evaluation of matrix elements of U(n) generators and of their products are also briefly discussed.