The number of eigenvalues of the two-particle discrete Schrödinger operator

DOI10.1007/s11232-009-0018-2zbMath1174.81004OpenAlexW2019942754MaRDI QIDQ1034414

A. M. Khalkhuzhaev, Saidachmat Lakaev

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11232-009-0018-2

zbMATH Keywords

eigenvalueHamiltonianessential spectrumFredholm determinantvirtual leveltwo-particle discrete Schrödinger operatorquasimomentum

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (3)

On the number of eigenvalues of the lattice model operator in one-dimensional case ⋮ The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice ⋮ Spectral properties of a two-particle Hamiltonian on a lattice

Cites Work

• 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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