Algebraic spectral gaps

Abstract : 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.
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Contributor : Amaury Mouchet <>
Submitted on : Wednesday, November 2, 2011 - 1:30:30 PM
Last modification on : Thursday, February 7, 2019 - 2:49:00 PM
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  • HAL Id : hal-00637569, version 1
  • ARXIV : 1111.0656

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Amaury Mouchet. Algebraic spectral gaps. SMAI 2011, May 2011, Guidel, France. pp.151. ⟨hal-00637569⟩

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