The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice.

Autor: Khalkhuzhaev, A. M., Abdullaev, J. I., Boymurodov, J. Kh.
Zdroj: Lobachevskii Journal of Mathematics; Dec2022, Vol. 43 Issue 12, p3486-3495, 10p
Abstrakt: We consider the three-particle discrete Schrödinger operator associated to a system of three particles (two fermions and one another particle) interacting through zero range pairwise potential on the three-dimensional lattice It is proved that there exist positive numbers that the operator for has no eigenvalue, for has a simple eigenvalue and for it has three eigenvalues lying below the essential spectrum for sufficiently large [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index