Scattering Theory for 0-Perturbed $\mathcal{P}\mathcal{T}$ -Symmetric Operators

  • A. I. Hrod
  • S. A. Kuzhel'

Abstract

The aim of the present work is to develop the scattering theory for 0-perturbed $\mathcal{P}\mathcal{T}$ -symmetric operators by using the Lax–Phillips method. The presence of a stable $\mathcal{C}$ -symmetry leading to the property of selfadjointness (with proper choice of the inner product) for these PTPT -symmetric operators is described in terms of the corresponding $\mathcal{C}$ -matrix (scattering matrix).
Published
25.08.2013
How to Cite
HrodA. I., and Kuzhel’S. A. “Scattering Theory for 0-Perturbed $\mathcal{P}\mathcal{T}$ -Symmetric Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 8, Aug. 2013, pp. 1059–1079, http://umj.imath.kiev.ua/index.php/umj/article/view/2490.
Section
Research articles