Some Eigenvalue Inequalities for the Schrödinger Operator on Integer Lattices
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917205659090944 |
|---|---|
| author | Liu, Wentao |
| author_facet | Liu, Wentao |
| contents | In this paper, we establish analogues of the Payne-Pólya-Weinberger, Hile-Protter, and Yang eigenvalue inequalities for the Schrödinger operator on arbitrary finite subsets of the integer lattice $\mathbb{Z}^n$. The results extend known inequalities for the discrete Laplacian to a more general class of Schrödinger operators with nonnegative potentials and weighted eigenvalue problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10523 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some Eigenvalue Inequalities for the Schrödinger Operator on Integer Lattices Liu, Wentao Spectral Theory In this paper, we establish analogues of the Payne-Pólya-Weinberger, Hile-Protter, and Yang eigenvalue inequalities for the Schrödinger operator on arbitrary finite subsets of the integer lattice $\mathbb{Z}^n$. The results extend known inequalities for the discrete Laplacian to a more general class of Schrödinger operators with nonnegative potentials and weighted eigenvalue problems. |
| title | Some Eigenvalue Inequalities for the Schrödinger Operator on Integer Lattices |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2601.10523 |