Статья
2015
On compact perturbation of two-particle Schrödinger operator on a lattice
M. E. Muminov, A. M. Khurramov
Русская математика
https://doi.org/10.3103/S1066369X15060043
Abstract / Full Text
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 that under perturbation of the two-particle operator h(k), corresponding to a two-particle system, with a potential from this class, the discrete spectrum of h(k) is preserved.
Author information
- Universiti Teknologi Malaysia, Jahor, 81310, Bahru, MalaysiaM. E. Muminov
- Samarkand State University, Universitetskii bulv. 15, Samarkand, 140101, Republic of UzbekistanA. M. Khurramov
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