Generalization of the Bloch-Messiah-Zumino theorem

J. Dobaczewski
Institute of Theoretical Physics, Warsaw University,
Hoza 69, PL-00681, Warsaw, Poland

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.