Table of Contents
Journal of Operators
Volume 2014, Article ID 373754, 9 pages
http://dx.doi.org/10.1155/2014/373754
Research Article

On Partial Charge Transfer Processes in Multiparticle Systems on Graphs

Département De Mathématiques, Université De Reims, Moulin De La Housse, B.P. 1039, 51687 Cedex 2 Reims, France

Received 28 June 2014; Accepted 16 September 2014; Published 21 October 2014

Academic Editor: Lingju Kong

Copyright © 2014 Victor Chulaevsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We assess the probability of resonances between sufficiently distant states of an -particle disordered quantum system in a combinatorial graph . In the -particle configuration space, there are arbitrarily distant pairs of configurations giving rise to pairs of local (random) Hamiltonians which are strongly coupled, so that the eigenvalue concentration (EVC) bounds are difficult to obtain. We extend to any number of particles the efficient EVC bounds, obtained earlier for the 2-particle systems.