On the spectrum of a Landau Hamiltonian with a periodic electric potential $V\in L^p_{\mathrm {loc}}(\mathbb{R}^2)$, $p>1$

DOI10.35634/2226-3594-2020-55-04zbMath1458.35283OpenAlexW3039522801MaRDI QIDQ5151942

Leonid I. Danilov

Publication date: 17 February 2021

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

Full work available at URL: http://mathnet.ru/eng/iimi390

zbMATH Keywords

spectrumhomogeneous magnetic fieldtwo-dimensional Schrödinger operatorperiodic electric potential

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

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

Cites Work

• 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
• Spectrum of the Landau Hamiltonian with a periodic electric potential
• The spectrum of the two-dimensional periodic Schrödinger operator
• On the structure of spectra of periodic elliptic operators
• An overview of periodic elliptic operators
• On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential
• On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential
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