2 papers
math-ph2026
Precise spectral asymptotics, exponential localization, and spectral gap estimates for the three-boson lattice Schrödinger operator
Janikul Abdullaev, Abdumalik Eshniyozov, Abdikhurayra Toshturdiev +1
We present a corrected strong-coupling Birman-Schwinger analysis of the three-boson lattice Schroedinger operator on Z^2 at the exceptional quasimomentum K=pi. First, we give an ex…
math.SP2025
Bound states of 2+1 fermionic trimers on lattice at strong couplings
Janikul Abdullaev, Ahmad Khalkhuzhaev, Shokhrukh Yu. Kholmatov
In this paper, we investigate the bound states of fermionic trimers on a three-dimensional lattice at strong coupling. Specifically, we analyze the discrete spectrum of the a…