Annales Henri Poincaré

, Volume 9, Issue 3, pp 457–508

Bethe–Sommerfeld Conjecture

Authors

    • Department of MathematicsUniversity College London
Article

DOI: 10.1007/s00023-008-0364-x

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