On compact perturbation of two-particle Schrödinger operator on a lattice
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...
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my.utm.586822021-11-07T06:41:45Z http://eprints.utm.my/id/eprint/58682/ On compact perturbation of two-particle Schrödinger operator on a lattice Muminov, M. E. Khurramov, A. M. QC Physics 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. Allerton Press Incorporation 2015 Article PeerReviewed 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 http://dx.doi.org/10.3103/S1066369X15060043 DOI: 10.3103/S1066369X15060043 |
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QC Physics Muminov, M. E. Khurramov, A. M. On compact perturbation of two-particle Schrödinger operator on a lattice |
| description |
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. |
| format |
Article |
| author |
Muminov, M. E. Khurramov, A. M. |
| author_facet |
Muminov, M. E. Khurramov, A. M. |
| author_sort |
Muminov, M. E. |
| title |
On compact perturbation of two-particle Schrödinger operator on a lattice |
| title_short |
On compact perturbation of two-particle Schrödinger operator on a lattice |
| title_full |
On compact perturbation of two-particle Schrödinger operator on a lattice |
| title_fullStr |
On compact perturbation of two-particle Schrödinger operator on a lattice |
| title_full_unstemmed |
On compact perturbation of two-particle Schrödinger operator on a lattice |
| title_sort |
on compact perturbation of two-particle schrödinger operator on a lattice |
| publisher |
Allerton Press Incorporation |
| publishDate |
2015 |
| url |
http://eprints.utm.my/id/eprint/58682/ http://dx.doi.org/10.3103/S1066369X15060043 |
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1717093382900154368 |