Displaying similar documents to “Semiclassical limit of the spectral decomposition of a Schrödinger operator in one dimension.”

Algebraic spectral gaps

Amaury Mouchet (2012)

ESAIM: Proceedings

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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.