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 |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2025-06-01 |
| Jild | 5 |
| Son | 1 |
| Betlar | 46-56 |
| Til | Ingliz |
| Ilmiy soha | Kimyo |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3579 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3579 · Maqolaning asl sahifasi
| APA | S. Abdukhakimov, & M. Bayzakov (2025). SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(1), 46-56. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3579 |
|---|---|
| GOST (OAK) | S. Abdukhakimov, M. Bayzakov SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2025. – T. 5, № 1. – P. 46-56. – DOI: 10.59251/2181-3973.2025.v1.138.1.3579. |
| MLA | S. Abdukhakimov, and M. Bayzakov. “SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(1), 46-56, 2025. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3579 |
| Chicago | S. Abdukhakimov, and M. Bayzakov. “SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(1), 46-56 (2025). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3579 |
| Harvard | S. Abdukhakimov, and M. Bayzakov (2025) ‘SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(1), 46-56. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3579 |
| BibTeX | @article{sabdukhakimov2025,
title = {SPECTRAL PROPERTIES OF SCHRÖDINGER OPERATOR FOR A TWO-FERMION SYSTEM ON A LATTICE: EIGENVALUES AND RESONANCES},
author = {S. Abdukhakimov and M. Bayzakov},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2025},
volume = {5},
number = {1},
pages = {46-56},
doi = {10.59251/2181-3973.2025.v1.138.1.3579},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3579}
} |
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