We study a two-particle discrete Schrödinger operator associated with a system of three particles moving on the three-dimensional cubic lattice depending on the interaction magnitude and particles mass ratio . We establish the essential spectrum of the two-particle discrete Schrödinger operator and prove the existence of eigenvalues located below the bottom of the essential spectrum of two-particle discrete Schrödinger operator for all , under the assumption that the bottom of the essential spectrum is a resonance (virtual level) of operator
| Mualliflar | S N Lakaev, S h I Hamidov, S A b d u v a y i t o |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashr sanasi | 2022-06-25 |
| Jild | 5 |
| Son | 135/1 |
| Betlar | 1-11 |
| Til | en |
| DOI | 10.59251/2181-1296.v5.1351.1114 |
DOI: 10.59251/2181-1296.v5.1351.1114 · Maqolaning asl sahifasi · PDF
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