Super Hilbert Spaces
Mathematical Physics
2009-10-31 v2 math.MP
Abstract
The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super Hilbert spaces over infinitely generated Grassmann algebras arise in the functional Schroedinger representation of spinor quantum field theory in a natural way.
Keywords
Cite
@article{arxiv.math-ph/9910047,
title = {Super Hilbert Spaces},
author = {Oliver Rudolph},
journal= {arXiv preprint arXiv:math-ph/9910047},
year = {2009}
}
Comments
Version for Communication in Mathematical Physics; several typos corrected and one example rewritten and expanded