Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$

Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi +1

We investigate the exact-WKB analysis for quantum mechanics in a periodic potential, with $N$ minima on $S^1$. We describe the Stokes graphs of a general potential problem as a…