3 papers
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 $Î=q_1 \mathbb{Z}\oplus q_2\mathbb{Z}\oplus\cdots\oplus q…
math.SP2025
On the inverse transmission eigenvalue problem with a piecewise refractive index
Tao Liu, Kang Lyu, Guangsheng Wei +1
In this paper, we consider the inverse spectral problem of determining the spherically symmetric refractive index in a bounded spherical region of radius . Instead of the usual…
math-ph2025
On the perturbed periodic Schrödinger operators with separate resonant embedded eigenvalues
Kang Lyu, Chuanfu Yang
In this paper, we consider Schrödinger operators on given by \begin{align} Hu=(H_0+V)u=-u^{\prime\prime}+V_0u+Vu,\nonumber \end{align} where is real, -per…