Generalization of the Bloch-Messiah-Zumino theorem
arXiv:math-ph/0002034 · doi:10.1103/PhysRevC.62.017301
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.
4 RevTeX pages, submitted to Physical Review C