On the spectrum of a relativistic Landau Hamiltonian with a periodic electric potential

DOI10.20537/2226-3594-2019-54-01zbMath1452.35121OpenAlexW2998179696MaRDI QIDQ5134254

Leonid I. Danilov

Publication date: 16 November 2020

Published in: Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ. (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi378

zbMATH Keywords

spectrumhomogeneous magnetic fieldtwo-dimensional Dirac operatorperiodic electric potential

Mathematics Subject Classification ID

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

Related Items (1)

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

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
• The periodic Dirac operator is absolutely continuous
• On the spectrum of the two-dimensional periodic Dirac operator
• 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 two-dimensional generalized periodic Schrödinger operator. II
• Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator
• On the spectrum of a two-dimensional Schrödinger operator with a homogeneous magnetic field and a periodic electric potential
• Motion in a Constant Magnetic Field
• Floquet theory for partial differential equations
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