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Super Hilbert Spaces

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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 Schrödinger representation of spinor quantum field theory in a natural way.

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Authors and Affiliations

  1. Physics Division, Starlab nv/sa, Boulevard Saint Michel 47, 1040 Brussels, Belgium.¶ E-mail: rudolph@starlab.net, , , , , , BE

    Oliver Rudolph

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  1. Oliver Rudolph
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Received: 8 November 1999 / Accepted: 25 April 2000

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Rudolph, O. Super Hilbert Spaces. Commun. Math. Phys. 214, 449–467 (2000). https://doi.org/10.1007/s002200000281

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  • DOI: https://doi.org/10.1007/s002200000281

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