On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential

DOI10.35634/2226-3594-2021-58-02zbMath1486.35310OpenAlexW4200251800MaRDI QIDQ5067409

Leonid I. Danilov

Publication date: 1 April 2022

Published in: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi419

zbMATH Keywords

periodic Schrödinger operatorabsolute continuity of the spectrum

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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• Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder
• Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder
• Spectra of open waveguides in periodic media
• Absolute continuity of spectra of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potentials
• Absolute continuity of the spectrum of a Landau Hamiltonian perturbed by a generic periodic potential
• Absolute continuity of the periodic magnetic Schrödinger operator
• Absolute continuity of a two-dimensional magnetic periodic Schrödinger operator with potentials of the type of measure derivative
• Perturbation theory for linear operators.
• Absolute continuity of the spectrum of a periodic Schrödinger operator
• The periodic Schrödinger operators with potentials in the Morrey class
• Spectrum of the Landau Hamiltonian with a periodic electric potential
• Absolute continuity of the spectrum of the periodic Schrödinger operator in a cylinder with Robin boundary condition
• Schrödinger operators on periodic discrete graphs
• Quantum waveguides
• The spectrum of the two-dimensional periodic Schrödinger operator
• Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential
• On the structure of spectra of periodic elliptic operators
• An overview of periodic elliptic operators
• Stein–Tomas theorem for a torus and the periodic Schrödinger operator with singular potential
• On the spectrum of a periodic Schrödinger operator with potential in the Morrey space
• High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
• On absolute continuity of the spectrum of three- and four-dimensional periodic Schrödinger operators
• Absolute continuity of the Schrödinger operator spectrum in a multidimensional cylinder
• On the Spectrum of Partially Periodic Operators
• The Maxwell operator with periodic coefficients in a cylinder
• Absolute continuity of the spectrum of two-dimensional Schrödinger operator with partially periodic coefficients
• ABSOLUTE CONTINUITY IN PERIODIC WAVEGUIDES
• On the spectrum of a Landau Hamiltonian with a periodic electric potential $V\in L^p_{\mathrm {loc}}(\mathbb{R}^2)$, $p>1$
• On absolute continuity of the spectrum of a periodic magnetic Schrödinger operator
• On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential
• Spectral estimates for Schrödinger operators on periodic discrete graphs
• Absence of bound states for waveguides in two-dimensional periodic structures
• Absolute continuity of the spectrum of a periodic Dirac operator
• Spectrum of the periodic Dirac operator