Bound states of a system of two fermions on a one-dimensional lattice

DOI10.1007/S11232-006-0055-ZzbMath1177.81111OpenAlexW1965485928MaRDI QIDQ1047975

Janikul I. Abdullaev

Publication date: 9 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-006-0055-z

zbMATH Keywords

eigenvalueHamiltonianSchrödinger operatorresonancebound stateBirman-Schwinger principletotal quasimomentum

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum field theory on lattices (81T25)

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 ⋮ Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

Cites Work

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• On the bound state of Schrödinger operators in one dimension
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Analytic properties of the scattering matrix

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