Generalization of the Bloch-Messiah-Zumino theorem

Abstract

It is shown how to construct a basis in which two arbitrary complex antisymmetric matrices C and C' acquire simultaneously canonical forms. The present construction is not restricted by any conditions on properties of the C^+C' matrix. Canonical bases pertaining to the generator-coordinate-method treatment of many-fermion systems are discussed.

Comments: 4 RevTeX pages, submitted to Physical Review C