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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| Main Authors: | , |
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| Format: | Article |
| Published: |
Allerton Press Incorporation
2015
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/58682/ http://dx.doi.org/10.3103/S1066369X15060043 |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | 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. |
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