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arXiv · 2501.11155

Extrema of spectral band functions of two dimensional discrete periodic Schr\"odinger operators

Matthew Faust·Wencai Liu·Ethan Luo
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Abstract

We use B\'{e}zout's theorem and Bernstein-Khovanskii-Kushnirenko theorem to analyze the level sets of the extrema of the spectral band functions of discrete periodic Schr\"odinger operators on $\mathbb{Z}^2$. These approaches improve upon previous results of Liu and Filonov-Kachkovskiy.

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BibTeXRIS

Matthew Faust, Wencai Liu, Ethan Luo. 2025-01-19. Extrema of spectral band functions of two dimensional discrete periodic Schr\"odinger operators. https://arxiv.org/abs/2501.11155

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