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Analysis of the discrete spectrum of the family of operator matrices
Mukhiddin I. Muminov, Tulkin H. Rasulov, Nargiza A. Tosheva
We consider the family of operator matrices associated with the lattice systems describing two identical bosons and one par…
On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case
Mukhiddin Muminov, Hagen Neidhardt, Tulkin Rasulov
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…
The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space
Mukhiddin I. Muminov, Tulkin H. Rasulov
A Hamiltonian (model operator) associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Fad…
On the Spectrum of a Model Operator in Fock Space
Tulkin H. Rasulov, Mukhiddin I. Muminov, Mahir Hasanov
A model operator associated to a system describing four particles in interaction, without conservation of the number of particles, is considered. We describe the essential spec…