On the number of eigenvalues of the lattice model operator in one-dimensional case

DOI10.1134/S1995080222050109zbMath1496.81056MaRDI QIDQ2140937

I. N. Bozorov, A. M. Khurramov

Publication date: 23 May 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueSchrödinger operatorsessential spectrumtwo-body Hamiltonianasymptotics of Fredholm determinantFridrix's model

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Two-body problems (70F05)

Related Items (5)

The essential spectrum of a three particle Schrödinger operator on lattices ⋮ On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ On the number and location of eigenvalues of the two particle Schrödinger operator on a lattice

Cites Work

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