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.
Originalsprache | englisch |
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Seiten (von - bis) | 2149-2152 |
Seitenumfang | 4 |
Fachzeitschrift | Physics Letters A |
Jahrgang | 375 |
Ausgabenummer | 22 |
DOIs | |
Publikationsstatus | Veröffentlicht - 30 Mai 2011 |
Extern publiziert | Ja |
ASJC Scopus subject areas
- Allgemeine Physik und Astronomie