1202.1537 (Sergio Albeverio et al.)

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

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.

View original: http://arxiv.org/abs/1202.1537