On elements of the Lax-Phillips scattering scheme for PT-symmetric   operators
  Generalized PT-symmetric operators acting an a Hilbert space $\mathfrak{H}$ are defined and investigated. The case of PT-symmetric extensions of a symmetric operator $S$ is investigated in detail. The possible application of the Lax-Phillips scattering methods to the investigation of PT-symmetric operators is illustrated by considering the case of 0-perturbed operators. 
Sergio Albeverio and Sergii Kuzhel
math-ph math.MP quant-ph