Generalization of the Bloch-Messiah-Zumino theorem
Mathematical Physics
2009-10-31 v1 math.MP
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.math-ph/0002034,
title = {Generalization of the Bloch-Messiah-Zumino theorem},
author = {J. Dobaczewski},
journal= {arXiv preprint arXiv:math-ph/0002034},
year = {2009}
}
Comments
4 RevTeX pages, submitted to Physical Review C