Geodesic
Algebraic spectral gaps
Amaury Mouchet1
1 Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais de Tours — CNRS (UMR 6083), Fédération Denis Poisson, Parc de Grandmont 37200 Tours, France
ESAIM. Proceedings, Tome 35 (2012), pp. 151-166.

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For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral gaps) may be obtained rather systematically with a method proposed by H. Giacomini and A. Mouchet in 2007. The present article provides some alternative formulation of this method, suggests some possible generalizations and extensively discusses the higher-dimensional case.
DOI : 10.1051/proc/201235009

Amaury Mouchet 1

1 Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais de Tours — CNRS (UMR 6083), Fédération Denis Poisson, Parc de Grandmont 37200 Tours, France 
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Amaury Mouchet. Algebraic spectral gaps. ESAIM. Proceedings, Tome 35 (2012), pp. 151-166. doi : 10.1051/proc/201235009. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235009/

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