74 citations · 645 across the 66 of their papers we have counts for
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A two-boson lattice Hamiltonian with interactions up to next-neighboring sites
S. N. Lakaev, A. K. Motovilov, M. O. Akhmadova
A system of two identical spinless bosons on the two-dimensional lattice is considered under the assumption that on-site and first and second nearest-neighboring site interactions…
Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions
Saidakhmat N. Lakaev, Alexander K. Motovilov, Saidakbar Kh. Abdukhakimov
We study the Schroedinger operators H_{λμ}(K), with K \in T_2 the fixed quasi-momentum of the particles pair, associated with a system of two identical fermions on the two-dimensio…
Unphysical energy sheets and resonances in the Friedrichs-Faddeev model
Alexander K. Motovilov
We consider the Friedrichs-Faddeev model in the case where the kernel of the potential operator is holomorphic in both arguments on a certain domain of . For this model…
Bounds on variation of the spectrum and spectral subspaces of a few-body Hamiltonian
Sergio Albeverio, Alexander K. Motovilov
We overview the recent results on the shift of the spectrum and norm bounds for variation of spectral subspaces of a Hermitian operator under an additive Hermitian perturbation. Al…
Operator interpretation of resonances arising in spectral problems for 2x2 matrix Hamiltonians
A. K. Motovilov, R. Mennicken
We consider the analytic continuation of the transfer function for a 2x2 matrix Hamiltonian into the unphysical sheets of the energy Riemann surface. We construct non-selfadjoint o…