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

DOI10.1007/s11232-007-0114-0zbMath1131.81007OpenAlexW1998380082MaRDI QIDQ2461112

Janikul I. Abdullaev, Isroil A. Ikromov

Publication date: 21 November 2007

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

Full work available at URL: https://doi.org/10.1007/s11232-007-0114-0

zbMATH Keywords

HamiltonianSchrödinger operatordiscrete spectrumBirman-Schwinger principle

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Invariant subspaces of the Schrödinger operator with a finite support potential ⋮ Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators ⋮ Bounds on the discrete spectrum of lattice Schrödinger operators ⋮ Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation ⋮ Spectral features of two-particle Schrödinger operator on \(d\)-dimensional lattice ⋮ Spectral attributes of self-adjoint Fredholm operators in Hilbert space: a rudimentary insight

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• On the discrete spectrum of the nonanalygic matrix-valued Friedrichs model
• Idéaux de fonctions différentiables. I
• Asymptotics of the discrete spectrum of the three-particle Schrödinger difference operator on a lattice
• Sur le problème de la division

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