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PT-Symmetric Waveguides and the Lack of Variational Techniques

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    0384795 - UJF-V 2013 RIV CH eng J - Journal Article
    Krejčiřík, David
    PT-Symmetric Waveguides and the Lack of Variational Techniques.
    Integral Equations and Operator Theory. Roč. 73, č. 1 (2012), s. 1-2. ISSN 0378-620X
    Institutional support: RVO:61389005
    Keywords : Robin Laplacian * non-self-adjoint boundary conditions * complex symmetric operator * PT-symmetry * waveguides * discrete and essential spectra
    Subject RIV: BA - General Mathematics
    Impact factor: 0.713, year: 2012

    On a model of waveguide with non-Hermitian Robin-type boundary conditions, we demonstrate the need for a robust method establishing the existence of isolated eigenvalues for non-self-adjoint operators possessing both essential and discrete spectrum.
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