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math.SP2025
Weak separability and partial Fermi isospectrality of discrete periodic Schrödinger operators
Jifeng Chu, Kang Lyu, Chuan-Fu Yang
In this paper, we consider the discrete periodic Schrödinger operators on , where is -periodic with $Γ=q_1 \mathbb{Z}\oplus q_2\mathbb{Z}\oplus\cdots\oplus q_d\m…
math.SP2023
Sharp bound for embedded eigenvalues of Dirac operators with decaying potentials
Vishwam Khapre, Kang Lyu, Andrew Yu
We study eigenvalues of the Dirac operator with canonical form \begin{equation} L_{p,q} \begin{pmatrix} u \\ v \end{pmatrix}= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}\frac{d}{…