321 citations · 742 across the 58 of their papers we have counts for
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math.SP2007
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…
math.SP2007★ 17 cited
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…
math.SP2007★ 70 cited
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…