The Point Spectrum of the Three-Particle Schrödinger Operator on $$\boldsymbol{\mathbb{Z}}$$ with Masses $$\boldsymbol{m_{1}=m_{2}=\infty}$$ and $$\boldsymbol{m_{3}<\infty}$$
Zahriddin MuminovRomanovskii Institute of Mathematics, 100174, Tashkent, UzbekistanVasila AktamovaSamarkand Institute of Veterinary Medicine, 140103, Samarkand, Uzbekistan
ABI
Аннотация
In this article, the hamiltonian $$H(K)$$ of a system of three-particles moving on the lattice $$\mathbb{Z}$$ interacting through repulsive or attractive zero-range pairwise potentials is considered. It is studied the point spectrum of the Schrödinger operator which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, assuming that two particles in the system have infinite mass.
Мавзулар
Идентификаторлар
Иқтибослар ва манбалар
0 та иқтибос24 та фойдаланилган манба
Кўрсаткичлар — AkademScholar · Тез орада