On compact perturbation of two-particle Schrödinger operator on a lattice

• Main Authors: Muminov, M. E., Khurramov, A. M.
• Format: Article
• Published: Allerton Press Incorporation 2015
• Subjects: QC Physics
• Online Access: http://eprints.utm.my/id/eprint/58682/; http://dx.doi.org/10.3103/S1066369X15060043
• Institution: Universiti Teknologi Malaysia

We consider a system of two arbitrary quantum particles on three-dimensional lattice with certain dispersion functions (describing the transfer of the particle from one node to another) interacting by the attractive potential only on the nearest neighboring nodes. We find a class of potentials such...