Super Hilbert Spaces

Details Super Hilbert Spaces Super Hilbert Spaces

1999-10-28

arxiv.org/abs/math-ph/9910047v2

Commun. Math. Phys. 214 (2000), 449-467.

Physics

Mathematical Physics

Version for Communication in Mathematical Physics; several typos corrected and one example rewritten and expanded

Scientific paper

10.1007/s002200000281

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.

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