On elements of the Lax-Phillips scattering scheme for PT-symmetric operators
Mathematical Physics
2015-06-04 v1 math.MP
Quantum Physics
Abstract
Generalized PT-symmetric operators acting an a Hilbert space are defined and investigated. The case of PT-symmetric extensions of a symmetric operator 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.
Keywords
Cite
@article{arxiv.1202.1537,
title = {On elements of the Lax-Phillips scattering scheme for PT-symmetric operators},
author = {Sergio Albeverio and Sergii Kuzhel},
journal= {arXiv preprint arXiv:1202.1537},
year = {2015}
}