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Algebraic spectral gaps

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.

6 nodes5 linksoverview previewAlgebraic spectral gaps
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Algebraic spectral gaps6 visible / 6 total nodes / 5 links
AuthorshipTopic signalTopic signalTopic signalTopic signalWAlgebraic spectral gapspreprint / 2011AAmaury MouchetResearcherTquant-ph17817 worksTmath-ph7974 worksTmath.MP7972 worksTmath.SP1235 works
PaperSignal 105 links

Algebraic spectral gaps

preprint / 2011

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