Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice

DOI10.1134/S0040577919030036zbMath1419.81012OpenAlexW2936167533MaRDI QIDQ2313875

A. T. Boltaev, Saidachmat Lakaev

Publication date: 23 July 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919030036

zbMATH Keywords

latticeeigenvaluedispersion relationdiscrete Schrödinger operatorenergy operatortwo-particle systemvirtual level

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Dispersion theory, dispersion relations arising in quantum theory (81U30) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

On the discrete spectra of Schrödinger-type operators on one dimensional lattices ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ The essential spectrum of a three particle Schrödinger operator on lattices ⋮ On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice

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