Wegner Bounds for a Two-Particle Tight Binding Model
نویسندگان
چکیده
منابع مشابه
A ug 2 00 7 Wegner bounds for a two - particle tight binding model
We consider a quantum two-particle system on a lattice Z with interaction and in presence of an IID external potential. We establish Wegner-typer estimates for such a model. The main tool used is Stollmann’s lemma.
متن کاملWegner-type bounds for a two-particle Anderson model in a continuous space
We analyse a two-particle quantum system in R with interaction and in presence of a random external potential field with a continuous argument (an Anderson model in a continuous space). Our aim is to establish the so-called Wegner-type estimates for such a model, assessing the probability that random spectra of Hamiltonians in finite volumes intersect with a given set. For the lattice version o...
متن کامل1 3 O ct 2 00 8 Eigenfunctions in a two - particle Anderson tight binding model
We establish the phenomenon of Anderson localisation for a quantum two-particle system on a lattice Zd with short-range interaction and in presence of an IID external potential with sufficiently regular marginal distribution.
متن کاملTight Bounds for Depth-two Superconcentrators
We show that the minimum size of a depth-two N-superconcentrator is (N log 2 N= loglog N). Before this work, optimal bounds were known for all depths except two. For the upper bound, we build superconcentrators by putting together a small number of disperser graphs; these disperser graphs are obtained using a probabilistic argument. We present two diierent methods for showing lower bounds. Firs...
متن کاملCalculation for Energy of (111) Surfaces of Palladium in Tight Binding Model
In this work calculation of energetics of transition metal surfaces is presented. The tight-binding model is employed in order to calculate the energetics. The tight-binding basis set is limited to d orbitals which are valid for elements at the end of transition metals series. In our analysis we concentrated on electronic effects at temperature T=0 K, this means that no entropic term will be pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0508-3