Extrema of spectral band functions of two dimensional discrete periodic Schrödinger operators
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929682215075840 |
|---|---|
| author | Faust, Matthew Liu, Wencai Luo, Ethan |
| author_facet | Faust, Matthew Liu, Wencai Luo, Ethan |
| contents | We use Bézout's theorem and Bernstein-Khovanskii-Kushnirenko theorem to analyze the level sets of the extrema of the spectral band functions of discrete periodic Schrödinger operators on $\mathbb{Z}^2$. These approaches improve upon previous results of Liu and Filonov-Kachkovskiy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11155 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extrema of spectral band functions of two dimensional discrete periodic Schrödinger operators Faust, Matthew Liu, Wencai Luo, Ethan Spectral Theory Mathematical Physics Algebraic Geometry Primary: 81Q10. Secondary: 14M25, 47B36 We use Bézout's theorem and Bernstein-Khovanskii-Kushnirenko theorem to analyze the level sets of the extrema of the spectral band functions of discrete periodic Schrödinger operators on $\mathbb{Z}^2$. These approaches improve upon previous results of Liu and Filonov-Kachkovskiy. |
| title | Extrema of spectral band functions of two dimensional discrete periodic Schrödinger operators |
| topic | Spectral Theory Mathematical Physics Algebraic Geometry Primary: 81Q10. Secondary: 14M25, 47B36 |
| url | https://arxiv.org/abs/2501.11155 |