Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Rasulov, Tulkin"'
Publikováno v:
Published: Communications in Mathematical Analysis, vol. 23, no. 1, pp. 17-37 (2020)
We consider the family of $3 \times 3$ operator matrices ${\bf H}(K),$ $K \in {\Bbb T}^3:=(-\pi; \pi]^3$ associated with the lattice systems describing two identical bosons and one particle, another nature in interactions, without conservation of the
Externí odkaz:
http://arxiv.org/abs/2005.01922
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
Publikováno v:
Published: Nanosystems: Physics, Chemistry, Mathematics. Vol. 10 (2019), no. 6
We consider a family of $2 \times 2$ operator matrices ${\mathcal A}_\mu(k),$ $k \in {\Bbb T}^3:=(-\pi, \pi]^3,$ $\mu>0$, acting in the direct sum of zero- and one-particle subspaces of a Fock space. It is associated with the Hamiltonian of a system
Externí odkaz:
http://arxiv.org/abs/1912.09794
Publikováno v:
Published: Nanosystems: Physics, Chemistry, Mathematics. 10 (2019), no. 5, pp. 511-519
We consider the family of $3 \times 3$ operator matrices $H(K),$ $K \in {\Bbb T}^{\rm d}:=(-\pi; \pi]^{\rm d}$ arising in the spectral analysis of the energy operator of the spin-boson model of radioactive decay with two bosons on the torus ${\Bbb T}
Externí odkaz:
http://arxiv.org/abs/1911.05555
Publikováno v:
Published: Methods of Functional Analysis and Topology, 25 (2019), no. 3, pp. 273-281
In the present paper we consider a family of $2 \times 2$ operator matrices ${\mathcal A}_\mu(k),$ $k \in {\Bbb T}^3:=(-\pi, \pi]^3,$ $\mu>0,$ associated with the Hamiltonian of a system consisting of at most two particles on a three-dimensional latt
Externí odkaz:
http://arxiv.org/abs/1911.04918
Autor:
Rasulov, Tulkin H.
Publikováno v:
Methods Funct. Anal. Topology, Vol. 22 (2016), no. 1, 48-61
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 the essential spectrum of $H$ is described by the spectra of two fami
Externí odkaz:
http://arxiv.org/abs/1609.04277
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two photons is considered. The location of the essential spectrum is described. For any coupling constant the finiteness of the number of eigenvalues belo
Externí odkaz:
http://arxiv.org/abs/1410.4763
A Hamiltonian (model operator) $H$ associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Faddeev type system of equations for eigenvectors of $H$ is constructed.
Externí odkaz:
http://arxiv.org/abs/1005.5505
Autor:
Rasulov, Tulkin H.
A model operator $H_\mu,$ $\mu>0$ associated to a system of three particles on the three-dimensional lattice $ \mathbb{Z}^3$ that interact via nonlocal pair potentials is considered. We study the case where the parameter function $w$ has a special fo
Externí odkaz:
http://arxiv.org/abs/0904.2078
A model operator $H$ associated to a system describing four particles in interaction, without conservation of the number of particles, is considered. We describe the essential spectrum of $H$ by the spectrum of the channel operators and prove the Hun
Externí odkaz:
http://arxiv.org/abs/0805.1284