Generalization of the Bloch-Messiah-Zumino theorem

Physics – Mathematical Physics

Scientific paper

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4 RevTeX pages, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.62.017301

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.

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