4 research outputs found
Lax-Phillips scattering theory for PT-symmetric \rho-perturbed operators
The S-matrices corresponding to PT-symmetric \rho-perturbed operators are
defined and calculated by means of an approach based on an operator-theoretical
interpretation of the Lax-Phillips scattering theory
On elements of the Lax-Phillips scattering scheme for PT-symmetric operators
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