arXiv Open Access 2025

Eigenvalues of the discrete Schrödinger operator in the large coupling constant limit

Siyu Gao

Lihat Sumber

Abstrak

Let $(λ_-,λ_+)$ be a spectral gap of a periodic Schrödinger operator $A$ on the lattice ${\mathbb Z}^d$. Consider the operator $A(α)=A-αV$ where $V$ is a decaying positive potential on ${\mathbb Z}^d$. We study the asymptotic behavior of the number of eigenvalues of $A(t)$ passing through a point $λ\in (λ_-,λ_+)$ as $t$ grows from $0$ to $α$.

Topik & Kata Kunci

math.SP

Penulis (1)

Siyu Gao

Format Sitasi

APA MLA BibTeX

Gao, S. (2025). Eigenvalues of the discrete Schrödinger operator in the large coupling constant limit. https://arxiv.org/abs/2502.11257

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓