On elements of the Lax-Phillips scattering scheme for PT-symmetric operators

Sergio Albeverio, Sergii Kuzhel

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.

http://arxiv.org/abs/1202.1537
Mathematical Physics (math-ph); Quantum Physics (quant-ph)