Correction to: Inverse spectral theory for semiclassical Jaynes–Cummings systems

Abstract

We explain why Theorem B in the original article does not follow from the main result of this paper (Theorem A). While we conjecture that Theorem B should nevertheless be true, in this erratum we prove a slightly weaker version of it.Theorem B in the original article is not a mere corollary of Theorem A, contrary to what was stated in the original article. Indeed, the proof implicitly uses the assumption that, for a system with a unique focus-focus singularity, the twisting index must be trivial, which does not always hold. In this erratum we point out why the proof of Theorem B is incomplete, and show that a slightly weaker version of Theorem B still holds, which we state as Theorem B' at the end of the erratum. We conjecture that the original Theorem B still holds as is but our proof method is not powerful enough to verify this.Communicated by Thomas Schick.The original article can be found online at https://doi.