Spectral gaps for periodic Schrödinger operators with strong magnetic fields

DOI10.1007/s00220-004-1134-3zbMath1095.34056arXivmath/0311200OpenAlexW1979597756MaRDI QIDQ2385980

Yurii A. Kordyukov

Publication date: 22 August 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311200

zbMATH Keywords

spectral gapsmagnetic Schrödinger operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (5)

Electronic states on a lattice in periodic magnetic fields ⋮ Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells ⋮ An overview of periodic elliptic operators ⋮ Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect ⋮ Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom

Cites Work

• Unnamed Item
• Unnamed Item
• Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields)
• Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
• Discrete magnetic Laplacian
• Magnetic bottles for the Neumann problem: the case of dimension 3
• Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators
• Strong magnetic fields, Dirichlet boundaries, and spectral gaps
• Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells
• Semiclassical asymptotics on covering manifolds and Morse inequalities
• Spectral Properties of Classical Waves in High-Contrast Periodic Media
• Spectral properties of periodic media in the large coupling limit
• ON THE DENSITY OF STATES OF PERIODIC MEDIA IN THE LARGE COUPLING LIMIT
• Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces inK-theory
• Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
• Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model
• Magnetic bottles in connection with superconductivity

This page was built for publication: Spectral gaps for periodic Schrödinger operators with strong magnetic fields