ODE/IM correspondence in the semiclassical limit: Large degree asymptotics of the spectral determinants for the ground state potential

Gabriele Degano

We study a Schrödinger-like equation for the anharmonic potential $x^{2\alpha }+\ell (\ell +1)x^{-2}-E$ when the anharmonicity $\alpha$ goes to $+\infty$. When $E$ and $\ell$ vary in bounded…