Analysis of the spectrum of a $2\times 2$ operator matrix. Discrete spectrum asymptotics

Autor: Rasulov, Tulkin H., Dilmurodov, Elyor B.

Publikováno v: Nanosystems: physics, chemistry, mathematics, 11:2 (2020), pp. 138-144 Nanosystems: physics, chemistry, mathematics, 11:2 (2020), pp. 138-144 Nanosystems: Physics, Chemistry, Mathematics. Vol. 11, no. 2, 2020, pp. 138-144

We consider a $2 \times 2$ operator matrix ${\mathcal A}_\mu,$ $\mu>0$ related with the lattice systems describing two identical bosons and one particle, another nature in interactions, without conservation of the number of particles. We obtain an an

Externí odkaz: http://arxiv.org/abs/2004.14805

On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics

Autor: Albeverio, Sergio, Lakaev, Saidakhmat N., Rasulov, Tulkin H.

A model operator $H$ associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The precise location and structure of the essential spectrum of $H$ is des

Externí odkaz: http://arxiv.org/abs/math-ph/0508028

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Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice

Autor: I Muminov Mukhiddin, H Rasulov Tulkin

Publikováno v: Nanosystems: Physics, Chemistry, Mathematics. :280-293

In the present paper, we consider the Hamiltonian H(K), K ∈ T 3 := (-π; π] 3 of a system of three arbitrary quantum mechanical particles moving on the three-dimensional lattice and interacting via zero range potentials. We find a finite set Λ �

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41e85699e73cf0c07e807ec618e61c13
https://doi.org/10.17586/2220-8054-2015-6-2-280-293

The Discrete Spectrum Asymptotics with Respect to a Large Coupling Constant under Strong Nonnegative Perturbations.

Autor: Slousch, V. A.¹ vova@VS3648.spb.edu

Publikováno v: Journal of Mathematical Sciences. May2003, Vol. 115 Issue 2, p2267-2271. 5p.