Perfect transmission scattering as a PT-symmetric spectral problem

H. Hernandez-Coronado*, D. Krejčiřík, P. Siegl

*Corresponding author for this work

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implementing the corresponding quasi-Hermitian quantum mechanical framework from the physical viewpoint. One of the most interesting features of the analysis is that the complex eigenvalues of the underlying non-Hermitian problem, associated with a reflectionless scattering system, lead to the loss of perfect-transmission energies as the parameters characterizing the scattering potential are varied. On the other hand, the scattering data can serve to describe the spectrum of a large class of Schrödinger operators with complex Robin boundary conditions.

Original languageEnglish
Pages (from-to)2149-2152
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume375
Issue number22
DOIs
Publication statusPublished - 30 May 2011
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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