One-particle subspace of the Glauber dynamics generator for continuous particle systems
Kondratiev, Yuri
Kondratiev
Yuri
Minlos, Robert
Minlos
Robert
Zhizhina, Elena
Zhizhina
Elena
We consider a Glauber-type stochastic dynamics of continuous particle systems in R-d. We construct a one-particle invariant subspace of the generator of this dynamics in the high temperature and low density regime. We prove that under some additional assumptions on the decay of the potential the restriction of the generator on the one-particle subspace is unitary equivalent to the operator of the multiplication by a bounded smooth realvalued function. As a consequence we estimate the spectral gap of the generator and find the second gap between the one-particle branch and the rest of the spectrum.
16
9
1073-1114
1073-1114
WORLD SCIENTIFIC PUBL CO PTE LTD
2004