Annales Henri Poincaré

, Volume 9, Issue 3, pp 457–508 | Cite as

Bethe–Sommerfeld Conjecture

Article

Abstract.

We consider Schrödinger operator −Δ + V in \({\mathbb{R}}^d (d \geq 2)\) with smooth periodic potential V and prove that there are only finitely many gaps in its spectrum.

Copyright information

© Birkhaueser 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity College LondonLondonUnited Kingdom

Personalised recommendations