2 papers
math.SP2015
The existence of an isolated band in a system of three particles in an optical lattice
Gianfausto Dell'Antonio, Saidakhmat N. Lakaev, Ahmad M. Khalkhuzhaev
We prove the existence of two-and three-particle bound states of the Schrödinger operators $h_μ(k),k\in \T^d$ and $H_μ(K),K\in \T^d$ associated to Hamiltonians and $…
math.SP2015
Number of bound states of the Schroedinger operator of a system of three bosons in an optical lattice
Saidakhmat N. Lakaev, Alimzhan R. Khalmukhamedov, Ahmad M. Khalkhuzhaev
We consider the Hamiltonian of a system of three identical particles(bosons) on the dimensional lattice interacting via pairwise zero-range…