Bethe-Sommerfeld Conjecture

Details Bethe-Sommerfeld Conjecture Bethe-Sommerfeld Conjecture

2008-01-20

arxiv.org/abs/0801.3096v1

Mathematics

Spectral Theory

59 pages, 10 figures; to appear in Annales Henri Poincare

Scientific paper

10.1007/s00023-008-0364-x

We consider Schroedinger operator $-\Delta+V$ in $R^d$ ($d\ge 2$) with smooth
periodic potential $V$ and prove that there are only finitely many gaps in its
spectrum.

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