(1) Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE, UK;(2) Department of Mathematics, University of York, York, YO1 5DD, UK;(3) Department of Mathematical Sciences, University of Durham, Durham, DH1 3LE, UK
Abstract:
We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric quantum mechanical systems, obtained via a connection between the theories of ordinary differential equations and integrable models. Spectral equivalences inspired by the correspondence are also discussed.