We consider a system of fermions interacting via an external fields and we prove, in $d\geq 3$, that a suitable collective operator, bilinear in the fermionic fields, in the stochastic limit become a boson quantum brownian motion. The evolution operator after the limit satisfies a quantum stochastic differential equation, in which the imaginary part of the Ito correction is the ground state energy shift while its real part is the lifetime of the ground state.
Accardi, L., Lu, Y.g., Mastropietro, V. (1997). Stochastic bosonization for a $d\geq 3$ Fermi system. ANNALES DE L'INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 66(2), 185-213.
Stochastic bosonization for a $d\geq 3$ Fermi system
ACCARDI, LUIGI;
1997-01-01
Abstract
We consider a system of fermions interacting via an external fields and we prove, in $d\geq 3$, that a suitable collective operator, bilinear in the fermionic fields, in the stochastic limit become a boson quantum brownian motion. The evolution operator after the limit satisfies a quantum stochastic differential equation, in which the imaginary part of the Ito correction is the ground state energy shift while its real part is the lifetime of the ground state.| File | Dimensione | Formato | |
|---|---|---|---|
|
AcLuMa95_Stochastic Bosonization_Fermi.pdf
accesso aperto
Dimensione
1.95 MB
Formato
Adobe PDF
|
1.95 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
