2 papers
math-ph2024
Sharp spectral transition for embedded eigenvalues of perturbed periodic Dirac operators
Kang Lyu, Chuanfu Yang
We consider the Dirac equation on \begin{align} Ly= \begin{pmatrix} 0&-1 1&0 \end{pmatrix} \begin{pmatrix} y_1 y_2 \end{pmatrix}'+ \begin{pm…
math-ph2022
One dimensional discrete Schrödinger operators with resonant embedded eigenvalues
Wencai Liu, Kang Lyu
In this paper, we introduce a new family of functions to construct Schrödinger operators with embedded eigenvalues. This particularly allows us to construct discrete Schrödinger op…