Bound states of a two-boson system on a two-dimensional lattice

DOI10.1134/S0040577916020082zbMath1338.81195OpenAlexW2320347416MaRDI QIDQ292819

Zh. I. Abdullaev, Komil D. Kuliev

Publication date: 9 June 2016

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

Full work available at URL: https://doi.org/10.1134/s0040577916020082

zbMATH Keywords

eigenvalueperturbation theoryHamiltonianSchrödinger operatorbound stateBirman-Schwinger principletotal quasimomentum

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) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Invariant subspaces of the Schrödinger operator with a finite support potential

Cites Work

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• Perturbation theory for the two-particle Schrödinger operator on a one-dimensional lattice
• Bound states of a system of two fermions on a one-dimensional lattice
• On the bound state of Schrödinger operators in one dimension
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• Puiseux series for resonances at an imbedded eigenvalue
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• The Efimov effect. Discrete spectrum asymptotics
• Perturbation theory for linear operators.

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