STOCHASTIC BOSONIZATION FOR A D-GREATER-THAN-OR-EQUAL-TO-3 FERMI SYSTEM

Authors
ACCARDI L LU YG MASTROPIETRO V
Citation
L. Accardi et al., STOCHASTIC BOSONIZATION FOR A D-GREATER-THAN-OR-EQUAL-TO-3 FERMI SYSTEM, Annales de l'I.H.P. Physique theorique, 66(2), 1997, pp. 185-213
Citations number
25
Categorie Soggetti
Physics
Journal title
Annales de l'I.H.P. Physique theorique → ACNP
ISSN journal
02460211
Volume
66
Issue
2
Year of publication
1997
Pages
185 - 213
Database
ISI
SICI code
0246-0211(1997)66:2<185:SBFADF>2.0.ZU;2-C
Abstract
We consider a system of fermions interacting via an external field and we prove, in d greater than or equal to 3, that a suitable collective operator, bilinear in the fermionic fields, in the stochastic limit b ecomes a boson quantum brownian motion. The evolution operator after t he limit satisfies a quantum stochastic differential equation, in whic h the imaginary part of the Ito correction is the ground state shift w hile its real part is the lifetime of the ground state.