Algebraic spectral gaps
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.
@article{EP_2012_35_a9,
author = {Amaury Mouchet},
title = {Algebraic spectral gaps},
journal = {ESAIM. Proceedings},
pages = {151--166},
year = {2012},
volume = {35},
doi = {10.1051/proc/201235009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235009/}
}
Amaury Mouchet. Algebraic spectral gaps. ESAIM. Proceedings, Tome 35 (2012), pp. 151-166. doi: 10.1051/proc/201235009
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