321 citations · 723 across the 52 of their papers we have counts for
6 papers · 1 filter
Bounds on variation of spectral subspaces under J-self-adjoint perturbations
S. Albeverio, A. K. Motovilov, A. A. Shkalikov
Let be a self-adjoint operator on a Hilbert space $\fH$. Assume that the spectrum of consists of two disjoint components and . Let be a bounded operator on $…
Discrete spectrum asymptotics for the three-particle Hamiltonians on lattices
Sergio Albeverio, Saidakhmat N. Lakaev, Axmad M. Xalxo'jaev
We consider the Hamiltonian of a system of three quantum mechanical particles on the three-dimensional lattice interacting via short-range pair potentials. We prove for the…
Asymptotics for the number of eigenvalues of three-particle Schrödinger operators on lattices
Sergio Albeverio, G. F. Dell Antonio, Saidakhmat N. Lakaev
We consider the Hamiltonian of a system of three quantum mechanical particles (two identical fermions and boson)on the three-dimensional lattice and interacting by means of…
Inverse spectral problems for Dirac operators with summable potentials
S. Albeverio, R. Hryniv, Ya. Mykytyuk
The spectral properties of Dirac operators on with potentials that belong entrywise to , for some , are studied. The algorithm of reconstruction o…
Low energy effects for a family of Friedrichs models
Sergio Albeverio, Saidakhmat N. Lakaev, Ramiza Kh. Djumanova
A family of Friedrichs models with rank one perturbations associated to a system of two particles on the lattice is considered. The existence…
The threshold effects for a family of Friedrichs models under rank one perturbations
Sergio Albeverio, Saidakhmat N. Lakaev, Zahriddin I. Muminov
A family of Friedrichs models under rank one perturbations , associated to a system of two particles on the three dimensional lattice is con…