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

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

2012-02-07

arxiv.org/abs/1202.1537v1

Physics

Mathematical Physics

Scientific paper

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.

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