On the discrete spectra of Schrödinger-type operators on one dimensional lattices

DOI10.1134/S199508022206018XOpenAlexW4285504643MaRDI QIDQ2172909

Firdavsjon M. Almuratov, A. T. Boltaev, Saidachmat Lakaev

Publication date: 19 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022206018x

zbMATH Keywords

latticeeigenvalueessential spectrumasymptoticcoupling constant

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Infiniteness of the discrete spectrum of two-particle discrete Schrödinger operators ⋮ The number and location of eigenvalues for the two-particle Schrödinger operators on 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 ⋮ 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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