Essential spectrum and exponential estimates of eigenfunctions of lattice Schrödinger and Dirac operators

DOI10.1134/S1064562409050068zbMath1187.35031OpenAlexW2077632230MaRDI QIDQ1048531

Steffen Roch, Vladimir S. Rabinovich

Publication date: 12 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409050068

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices

Cites Work

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• Exponential estimates for eigenfunctions of matrix elliptic differential operators and limit operators
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Limit operators and their applications in operator theory
• Dynamical delocalization for the 1D Bernoulli discrete Dirac operator
• The essential spectrum of Schrödinger operators on lattices
• Essential spectra of difference operators on -periodic graphs

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