Bethe–Sommerfeld Conjecture

By L. Parnovski. 2008

80 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/a1982a56d070d08497f88c6fb9e44b56ce4682fe

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1. Peter Kuchment
2. Henri Berestycki
3. François Hamel
4. Grégoire Nadin
5. Konstantin Pankrashkin
6. Pavel Kurasov

Citations in the corpus

• An overview of periodic elliptic operators (2015, background): “, Maxwell operator) can be found in [20,121,261,296,318,321,322,342,366,391] and in the historical survey in [323].”