Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice

DOI10.1007/s11232-012-0033-6zbMath1274.81084OpenAlexW2046765739MaRDI QIDQ377654

S. S. Ulashov, Saidachmat Lakaev

Publication date: 6 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11232-012-0033-6

zbMATH Keywords

latticeeigenvalueHamiltoniandiscrete Schrödinger operatortwo-particle systemvirtual levelcontact repulsive potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Two-body problems (70F05) Discrete version of topics in analysis (39A12)

Related Items

The essential spectrum of a three particle Schrödinger operator on lattices, On perturbation of thresholds in essential spectrum under coexistence of virtual level and spectral singularity, On the bifurcation of thresholds of the essential spectrum with a spectral singularity, The existence of bound states in a system of three particles in an optical lattice, Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice

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