Perturbation theory for the two-particle Schrödinger operator on a one-dimensional lattice

DOI10.1007/s11232-005-0182-yzbMath1178.81077OpenAlexW2071208624MaRDI QIDQ843801

Janikul I. Abdullaev

Publication date: 17 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-005-0182-y

zbMATH Keywords

eigenvalueperturbation theoryHamiltonianSchrödinger operatortotal quasimomentum

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

Bound states of a two-boson system on a two-dimensional lattice ⋮ Invariant subspaces of the Schrödinger operator with a finite support potential ⋮ A real space split operator method for the Klein-Gordon equation

Cites Work

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• Discrete spectrum and resonances of a one-dimensional Schrödinger operator for small values of the coupling constants
• Embedded eigenvalues and resonances of a generalized Friedrichs model

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