Reply to "Comment on `Weyl's theory and the complex-rotation method applied to phenomena associated with a continuous spectrum"'

Abstract

Discrepancies in two different computations of complex-energy resonances for the potential $V(x)=(\frac{1}{2}{x}^{2}\ensuremath{-}J){e}^{\ensuremath{-}\ensuremath{\lambda}{x}^{2}}+J$ are investigated. The difference is shown to be related to the existence of a critical rotation angle ${\ensuremath{\theta}}_{\mathrm{crit}}$ for which the asymptotic characteristics of the potential undergo a fundamental change.