321 citations · 377 across the 21 of their papers we have counts for
24 papers
On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics
Sergio Albeverio, Saidakhmat N. Lakaev, Tulkin H. Rasulov
A model operator associated with the energy operator of a system describing three particles in interaction, without conservation of the number of particles, is considered. The…
On the number of eigenvalues of a model operator associated to a system of three-particles on lattices
Sergio Albeverio, Saidakhmat N. Lakaev, Zahriddin I. Muminov
A model operator associated to a system of three-particles on the three dimensional lattice and interacting via pair non-local potentials is studied. The following resul…
Concurrence of arbitrary dimensional bipartite quantum states
Kai Chen, Sergio Albeverio, Shao-Ming Fei
We derive an analytical lower bound for the concurrence of a bipartite quantum state in arbitrary dimension. A functional relation is established relating concurrence, the Peres-Ho…
Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables
Sergio Albeverio, Song Liang
Let X_i, i\in N, be i.i.d. B-valued random variables, where B is a real separable Banach space. Let Φbe a smooth enough mapping from B into R. An asymptotic evaluation of Z_n=E(\ex…
The number of eigenvalues for an Hamiltonian in Fock space
Sergio Albeverio, Saidakhmat N. Lakaev, Tulkin H. Rasulov
A model operator corresponding to the energy operator of a system with non-conserved number of particles is considered. The precise location and structure of the esse…
Estimates on the number of eigenvalues of two-particle discrete Schrödinger operators
Sergio Albeverio, Saidakhmat N. Lakaev, Janikul I. Abdullaev
Two-particle discrete Schrödinger operators on the three-dimensional lattice being the two-particle quasi-momentum, are considered. An estimate for th…