Lax-Phillips scattering theory for PT-symmetric \rho-perturbed operators
Petru A. Cojuhari, Sergii Kuzhel
TL;DR
This paper develops a scattering theory framework for PT-symmetric -perturbed operators using an operator-theoretical approach based on Lax-Phillips theory, enabling the calculation of their S-matrices.
Contribution
It introduces a novel operator-theoretical method to define and compute S-matrices for PT-symmetric -perturbed operators within the Lax-Phillips scattering framework.
Findings
Defined S-matrices for PT-symmetric -perturbed operators
Calculated S-matrices using the proposed approach
Extended scattering theory to PT-symmetric operator class
Abstract
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.
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