ON THE LOWER SPECTRUM OF THE TWO-PARTICLE DISCRETE SCHRÖDINGER OPERATOR
In this paper, it is established that if the lower edge of the spectrum is an isolated point of the Schrodinger operator of a system of two particles on a lattice, then it is a simple eigenvalue and a strictly positive eigenvector corresponds to it, under certain conditions with respect to the dispersion functions and potential.
Authors
- Utkir Kuljanov
- Zabidin Salleh (ORCID: https://orcid.org/0000-0001-5877-9051)
- Jovlon Kuljonov
Institutions
- Samarkand State University named after Sharof Rashidov (UZ)
- Universiti Malaysia Terengganu (MY)
- National Pedagogical University of Uzbekistan named after Nizami (UZ)
Publication Details
- Journal
- Journal of Mathematical Sciences and Informatics
- Published
- 2025-06-15
- DOI
- https://doi.org/10.46754/jmsi.2025.06.004
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00