The PT Symmeter » Sergio Albeverio http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 On elements of the Lax-Phillips scattering scheme for PT-symmetric operators http://ptsymmetry.net/?p=707&utm_source=rss&utm_medium=rss&utm_campaign=on-elements-of-the-lax-phillips-scattering-scheme-for-pt-symmetric-operators http://ptsymmetry.net/?p=707#comments Tue, 14 Feb 2012 16:37:17 +0000 dwh http://ptsymmetry.net/?p=707 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)

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