T. Rasulov

activity

20052020

most citedOn the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case

32 citations · 45 across the 12 of their papers we have counts for

collaborators

12 papers

math-ph2020

Analysis of the discrete spectrum of the family of $3 \times 3$ operator matrices

Mukhiddin I. Muminov, Tulkin H. Rasulov, Nargiza A. Tosheva

We consider the family of $3 \times 3$ operator matrices $H (K),$ $K \in T^{3} := (- π; π]^{3}$ associated with the lattice systems describing two identical bosons and one par…

math-ph2020

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

Tulkin H. Rasulov, Elyor B. Dilmurodov

We consider a $2 \times 2$ operator matrix $A_{μ},$ $μ > 0$ related with the lattice systems describing two identical bosons and one particle, another nature in interactions…

math-ph2019

Threshold analysis for a family of $2 \times 2$ operator matrices

Tulkin H. Rasulov, Elyor B. Dilmurodov

We consider a family of $2 \times 2$ operator matrices $A_{μ} (k),$ $k \in T^{3} := (- π, π]^{3},$ $μ > 0$ , acting in the direct sum of zero- and one-particle subspaces of a…

math-ph2019

Analytic description of the essential spectrum of a family of $3 \times 3$ operator matrices

Tulkin H. Rasulov, Nargiza A. Tosheva

We consider the family of $3 \times 3$ operator matrices $H (K),$ $K \in T^{d} := (- π; π]^{d}$ arising in the spectral analysis of the energy operator of the spin-boson…

math-ph2019

Eigenvalues and virtual levels of a family of $2 \times 2$ operator matrices

Tulkin H. Rasulov, Elyor B. Dilmurodov

In the present paper we consider a family of $2 \times 2$ operator matrices $A_{μ} (k),$ $k \in T^{3} := (- π, π]^{3},$ $μ > 0,$ associated with the Hamiltonian of a system c…

math.SP2016

On the finiteness of the discrete spectrum of a 3x3 operator matrix

Tulkin H. Rasulov

An operator matrix $H$ associated with a lattice system describing three particles in interactions, without conservation of the number of particles, is considered. The structure of…

Analysis of the discrete spectrum of the family of 3×3 operator matrices

Analysis of the spectrum of a 2×2 operator matrix. Discrete spectrum asymptotics

Threshold analysis for a family of 2×2 operator matrices

Analytic description of the essential spectrum of a family of 3×3 operator matrices

Eigenvalues and virtual levels of a family of 2×2 operator matrices

On the finiteness of the discrete spectrum of a 3x3 operator matrix

Analysis of the discrete spectrum of the family of $3 \times 3$ operator matrices

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

Threshold analysis for a family of $2 \times 2$ operator matrices

Analytic description of the essential spectrum of a family of $3 \times 3$ operator matrices

Eigenvalues and virtual levels of a family of $2 \times 2$ operator matrices