Spectrum of the two-particle Schrödinger operator on a lattice

DOI10.1007/S11232-008-0064-1zbMath1146.81027OpenAlexW2029390708MaRDI QIDQ946446

A. M. Khalkhuzhaev, Saidachmat Lakaev

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11232-008-0064-1

zbMATH Keywords

eigenvaluespectral propertiesvirtual levelBirman-Schwinger principletwo-particle discrete Schrödinger operator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Two-body problems (70F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Two-particle scattering in a periodic medium ⋮ Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice

Cites Work

• Unnamed Item
• The threshold effects for the two-particle Hamiltonians on lattices
• On Efimov's effect in a system of three identical quantum particles

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