The exact number of eigenvalues of the discrete Schrödinger operators in one-dimensional case

DOI10.1134/S1995080221060172zbMath1467.81045OpenAlexW3181396764MaRDI QIDQ2039033

Yanyan Li

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080221060172

zbMATH Keywords

eigenvalueessential spectrumdeterminantdiscrete Schrödinger operatorquasi-momentum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Fermionic systems in quantum theory (81V74)

Related Items (7)

On the discrete spectra of Schrödinger-type operators on one dimensional lattices ⋮ On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice ⋮ 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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• Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph
• The Existence and location of eigenvalues of the one particle Hamiltonians on lattices
• Spectral estimates for Schrödinger operators on periodic discrete graphs

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