74 citations · 645 across the 66 of their papers we have counts for
66 papers
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…
Optimal bounds on the speed of subspace evolution
Sergio Albeverio, Alexander K. Motovilov
By a quantum speed limit one usually understands an estimate on how fast a quantum system can evolve between two distinguishable states. The most known quantum speed limit is given…
Quantum speed limits for time evolution of a system subspace
Sergio Albeverio, Alexander K. Motovilov
One of the fundamental physical limits on the speed of time evolution of a quantum state is known in the form of the celebrated Mandelstam-Tamm inequality. This inequality gives an…
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…
Preserving of the unconditional basis property under non-self-adjoint perturbations of self-adjoint operators
Alexander K. Motovilov, Andrei A. Shkalikov
Let be a self-adjoint operator in a Hilbert space with domain . Assume that the spectrum of is confined in the union of disjoint intervals $Δ_k =[α_{2k-1…