We study the spectrum of an operator matrix arising in the spectral analysis of the energy operator of the spin-boson model of radioactive decay with two bosons on the torus. An analytic description of the essential spectrum is established. Further, a criterion for the finiteness of the number of eigenvalues below the bottom of the essential spectrum is derived
We consider a model operator H associated with a system describing three particles in interaction, w...
We consider a $2\times2$ operator matrix $A$ (so-called generalized Friedrichs model) associated wit...
Explicit expressions convenient for numerical calculations are derived for the number- and total-spi...
We study the spectrum of an operator matrix arising in the spectral analysis of the energy operator ...
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two ...
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two ...
A model describing a truncated operator H (truncated with respect to the number of particles) and ac...
International audienceWe consider a Hamiltonian with cutoffs describing the weak decay of spin one m...
We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the f...
We consider the family of operator matrices H(K), K ∈ T3 := (−π; π]3 acting in the direct sum of zer...
AbstractWe establish general theorems on locating the essential spectrum of a self-adjoint operator ...
We establish general theorems on locating the essential spectrum of a self-adjoint operator of the f...
We present a method to locate the essential spectrum of a self-adjoint operator on the tensor produc...
A 2 × 2 block operator matrix H acting in the direct sum of one- and two-particle subspaces of a Foc...
50 pagesInternational audienceWe consider a Hamiltonian describing the weak decay of the massive vec...
We consider a model operator H associated with a system describing three particles in interaction, w...
We consider a $2\times2$ operator matrix $A$ (so-called generalized Friedrichs model) associated wit...
Explicit expressions convenient for numerical calculations are derived for the number- and total-spi...
We study the spectrum of an operator matrix arising in the spectral analysis of the energy operator ...
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two ...
A lattice model of radiative decay (so-called spin-boson model) of a two level atom and at most two ...
A model describing a truncated operator H (truncated with respect to the number of particles) and ac...
International audienceWe consider a Hamiltonian with cutoffs describing the weak decay of spin one m...
We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the f...
We consider the family of operator matrices H(K), K ∈ T3 := (−π; π]3 acting in the direct sum of zer...
AbstractWe establish general theorems on locating the essential spectrum of a self-adjoint operator ...
We establish general theorems on locating the essential spectrum of a self-adjoint operator of the f...
We present a method to locate the essential spectrum of a self-adjoint operator on the tensor produc...
A 2 × 2 block operator matrix H acting in the direct sum of one- and two-particle subspaces of a Foc...
50 pagesInternational audienceWe consider a Hamiltonian describing the weak decay of the massive vec...
We consider a model operator H associated with a system describing three particles in interaction, w...
We consider a $2\times2$ operator matrix $A$ (so-called generalized Friedrichs model) associated wit...
Explicit expressions convenient for numerical calculations are derived for the number- and total-spi...