arXiv Open Access 2026

Some Eigenvalue Inequalities for the Schrödinger Operator on Integer Lattices

Wentao Liu

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (1)

Wentao Liu

Format Sitasi

APA MLA BibTeX

Liu, W. (2026). Some Eigenvalue Inequalities for the Schrödinger Operator on Integer Lattices. https://arxiv.org/abs/2601.10523

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓