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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…
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…
On the essential and discrete spectrum of a model operator related to three-particle discrete Schrödinger operators
Sergio Albeverio, Saidakhmat N. Lakaev, Ramiza Kh. Djumanova
A model operator corresponding to a three-particle discrete Schrödinger operator on a lattice is studied. The essential spectrum is described via the spectrum of two Fri…
On the structure of the essential spectrum of the three-particle Schrödinger operators on a lattice
Sergio Albeverio, Saidakhmat N. Lakaev, Zakhriddin I. Muminov
A system of three quantum particles on the three-dimensional lattice with arbitrary "dispersion functions" having non-compact support and interacting via short-range pair po…