On Partial Charge Transfer Processes in Multiparticle Systems on Graphs. (21st October 2014)

• Record Type: Journal Article
• Authors: Chulaevsky, Victor
• Other Names: Kong Lingju Academic Editor.
• Is Part Of: Journal of operators. Volume 2014(2014)
• Publication Date: 2014-10-21
• Subjects: Operator theory -- Periodicals; Operator theory; Periodicals; 515.724
• DOI: 10.1155/2014/373754
• Languages: English
• ISSNs: 2314-5064

Abstract

Abstract : We assess the probability of resonances between sufficiently distant states of anN -particle disordered quantum system in a combinatorial graphZ . In theN -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.