On the number of eigenvalues of a model operator related to a system of three particles on lattices

DOI10.1088/1751-8113/44/31/315302zbMath1225.81062OpenAlexW2058571451MaRDI QIDQ3091653

Yo. M. Shermatova, Gianfausto Dell'Antonio, Zahriddin I. Muminov

Publication date: 12 September 2011

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

Full work available at URL: https://doi.org/10.1088/1751-8113/44/31/315302

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice ⋮ The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ Existence condition for the eigenvalue of a three-particle Schrödinger operator on a lattice ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ The number of eigenvalues of the three-particle Schrödinger operator on three dimensional lattice ⋮ On the discrete spectrum of a model operator in fermionic Fock space ⋮ Threshold analysis of the one-rank perturbation non-local discrete Laplacian

This page was built for publication: On the number of eigenvalues of a model operator related to a system of three particles on lattices