Algebraic spectral gaps
Mathematical Physics
2011-11-07 v1 math.MP
Spectral Theory
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1111.0656,
title = {Algebraic spectral gaps},
author = {Amaury Mouchet},
journal= {arXiv preprint arXiv:1111.0656},
year = {2011}
}
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