1304.2167 (Joachim Kupsch)

Canonical transformations for fermions in superanalysis    [PDF]

Joachim Kupsch

Canonical transformations (Bogoliubov transformations) for fermions with an infinite number of degrees of freedom are studied within a calculus of superanalysis. A continuous representation of the orthogonal group is constructed on a Grassmann module extension of the Fock space. The pull back of these operators to the Fock space yields a unitary ray representation of the group that implements the Bogoliubov transformations.

View original: http://arxiv.org/abs/1304.2167