Muminov, M. E. and Khurramov, A. M. (2015) On compact perturbation of two-particle Schrödinger operator on a lattice. Russian Mathematics, 59 (6). pp. 18-22. ISSN 1066-369X
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Official URL: http://dx.doi.org/10.3103/S1066369X15060043
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | discrete spectrum, eigenvalue, two-particle Hamiltonian on a lattice |
| Subjects: | Q Science > QC Physics |
| Divisions: | Science |
| ID Code: | 58682 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 04 Dec 2016 04:07 |
| Last Modified: | 07 Nov 2021 06:41 |
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