Spectrum of the Lamé operator along $\mathrm{Re}\tau =1/2:$ The genus $3$ case

Erjuan Fu

In this paper, we study the spectrum $\sigma (L)$ of the Lamé operator \begin{equation*}L=\frac{d^2}{dx^2}-12\wp(x+z_0;τ)\quad \text{in}\;\;L^2(\mathbb{R}, \mathbb{C}), \end{equation*} w…