Physics – Mathematical Physics
Scientific paper
2009-04-30
Physics
Mathematical Physics
Scientific paper
In this paper, we consider a class of two-particle tight-binding Hamiltonians, describing pairs of interacting quantum particles on the lattice $\Z^d$, $d\ge 1$ subject to a common external potential $V(x)$ which we assume quasi-periodic and depending on an auxiliary parameter. Such parametric families of ergodic deterministic potentials ("grand ensembles") have been introduced earlier in \cite{C07}, in the framework of single-particle lattice systems, where it was proved that a non-uniform analog of the Wegner bound holds true for a class of quasi-periodic grand ensembles. Using the approach proposed in \cite{CS08}, we establish volume-dependent Wegner-type bounds for a class of quasi-periodic two-particle lattice systems with a non-random short-range interaction.
No associations
LandOfFree
Wegner-type bounds for a two-particle lattice model with a generic "rough" quasi-periodic potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Wegner-type bounds for a two-particle lattice model with a generic "rough" quasi-periodic potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wegner-type bounds for a two-particle lattice model with a generic "rough" quasi-periodic potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443436