期刊
PHYSICS LETTERS A
卷 375, 期 22, 页码 2149-2152出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.04.021
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资金
- Czech Ministry of Education, Youth and Sports [LC06002]
- GACR [P203/11/0701, 202/08/H072]
- Grant Agency of the Czech Technical University in Prague [SGS OHK4-010/10]
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 Schrodinger operators with complex Robin boundary conditions. (C) 2011 Elsevier B.V. All rights reserved.
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