321 citations · 377 across the 21 of their papers we have counts for
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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…