SUPERDERIVATIONS AND SYMMETRICAL MARKOV SEMIGROUPS

Citation
Eb. Davies et Jm. Lindsay, SUPERDERIVATIONS AND SYMMETRICAL MARKOV SEMIGROUPS, Communications in Mathematical Physics, 157(2), 1993, pp. 359-370
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
157
Issue
2
Year of publication
1993
Pages
359 - 370
Database
ISI
SICI code
0010-3616(1993)157:2<359:SASMS>2.0.ZU;2-Z
Abstract
Unbounded superderivations are used to construct non-commutative ellip tic operators on semi-finite von Neumann algebras. The method exploits the interplay between dynamical semigroups and Dirichlet forms. The e lliptic operators may be viewed as generators of irreversible dynamics for fermion systems with infinite degrees of freedom.