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Non-accretive Schrodinger operators and exponential decay of their eigenfunctions

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    0479658 - UJF-V 2018 RIV IL eng J - Journal Article
    Krejčiřík, David - Raymond, N. - Royer, J. - Siegl, Petr
    Non-accretive Schrodinger operators and exponential decay of their eigenfunctions.
    Israel Journal of Mathematics. Roč. 221, č. 2 (2017), s. 779-802. ISSN 0021-2172
    R&D Projects: GA ČR(CZ) GA14-06818S
    Institutional support: RVO:61389005
    Keywords : non-self-adjoint electromagnetic Schrodinger operators * Dirichlet realisation * Agmon-type exponential decay
    Subject RIV: BA - General Mathematics
    OBOR OECD: Pure mathematics
    Impact factor: 0.744, year: 2017

    We consider non-self-adjoint electromagnetic Schrodinger operators on arbitrary open sets with complex scalar potentials whose real part is not necessarily bounded from below. Under a suitable sufficient condition on the electromagnetic potential, we introduce a Dirichlet realisation as a closed densely defined operator with non-empty resolvent set and show that the eigenfunctions corresponding to discrete eigenvalues satisfy an Agmon-type exponential decay.
    Permanent Link: http://hdl.handle.net/11104/0275632