Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Rasulov, Tulkin H."'
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 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
Publikováno v:
The Rocky Mountain Journal of Mathematics, 2018 Jan 01. 48(1), 279-324.
Externí odkaz:
https://www.jstor.org/stable/26499731
