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Spectral stability of Schrodinger operators with subordinated complex potentials

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    0490632 - ÚJF 2019 RIV CH eng J - Journal Article
    Fanelli, L. - Krejčiřík, David - Vega, L.
    Spectral stability of Schrodinger operators with subordinated complex potentials.
    Journal of Spectral Theory. Roč. 8, č. 2 (2018), s. 575-604. ISSN 1664-039X. E-ISSN 1664-0403
    R&D Projects: GA ČR(CZ) GA14-06818S
    Institutional support: RVO:61389005
    Keywords : Non-self-adjoint Schrödinger operator * subordinate complex potential * absence of eigenvalues * spectral stability * Birman-Schwinger principle * technique of multipliers
    OECD category: Applied mathematics
    Impact factor: 1.205, year: 2018

    We prove that the spectrum of Schrodinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method of multipliers, we also establish the absence of point spectrum for Schrodinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities.
    Permanent Link: http://hdl.handle.net/11104/0284796

     
     
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