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Perfect transmission scattering as a PT-symmetric spectral problem

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    0365515 - ÚJF 2012 RIV NL eng J - Journal Article
    Hernandez-Coronado, H. - Krejčiřík, David - Siegl, Petr
    Perfect transmission scattering as a PT-symmetric spectral problem.
    Physics Letters. A. Roč. 375, č. 22 (2011), s. 2149-2152. ISSN 0375-9601. E-ISSN 1873-2429
    R&D Projects: GA ČR GAP203/11/0701; GA MŠMT LC06002
    Institutional research plan: CEZ:AV0Z10480505
    Keywords : QUANTUM-MECHANICS
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.632, year: 2011

    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.
    Permanent Link: http://hdl.handle.net/11104/0200744

     
     
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