Algebraic spectral gaps

Details Algebraic spectral gaps Algebraic spectral gaps

2011-11-02

arxiv.org/abs/1111.0656v1

Physics

Mathematical Physics

Submitted to ESAIM PROCEEDINGS

Scientific paper

For the one-dimensional Schr\"odinger 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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