Finiteness of lacunae in the spectrum of the Schrödinger operator and that of Dirac with periodic magnetic and electric potentials

DOI10.1215/kjm/1250519130zbMath0814.47056OpenAlexW1957322723MaRDI QIDQ1326739

Alain Grigis, Arbderemane Mohamed

Publication date: 12 June 1995

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519130

zbMATH Keywords

Fourier integral operatorsband structure with at most finitely many gapsBethe-Sommerfeld conjecture for arbitrary lattices in arbitrary dimensionsspectrum of a Schrödinger operator with a periodic potential

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (1)

Asymptotic of the density of states for the Schrödinger operator with periodic electric potential

This page was built for publication: Finiteness of lacunae in the spectrum of the Schrödinger operator and that of Dirac with periodic magnetic and electric potentials