We investigate the Schrödinger operators, where is the fixed quasi-momentum of a pair of identical fermions on a 1D lattice. The system has both nearest-neighbor and next-to-nearest neighbor interactions with parameters and, respectively. We partition the-plane into three connected components, , , and. Each component of possesses 0, 1, or 2 eigenvalues above its essential spectrum's upper bound. We show that the upper threshold of becomes a super-threshold resonance when the point lies on the boundaries between these components, denoted by and.
| Mualliflar | S. Abdukhakimov, M. Bayzakov |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashr sanasi | 2025-06-01 |
| Jild | 5 |
| Son | 1 |
| Betlar | 46-56 |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3579 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3579 · Maqolaning asl sahifasi
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