Super Hilbert spaces

Authors
Rudolph, O
Citation
O. Rudolph, Super Hilbert spaces, COMM MATH P, 214(2), 2000, pp. 449-467
Citations number
14
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
214
Issue
2
Year of publication
2000
Pages
449 - 467
Database
ISI
SICI code
0010-3616(200011)214:2<449:SHS>2.0.ZU;2-Y
Abstract
The basic mathematical framework for super Hilbert spaces over a Grassmann algebra with a Grassmann number-valued inner product is formulated. Super H ilbert spaces over infinitely generated Grassmann algebras arise in the fun ctional Schrodinger representation of spinor quantum field theory in a natu ral way.