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Israel Journal of Mathematics

, Volume 221, Issue 2, pp 779–802 | Cite as

Non-accretive Schrödinger operators and exponential decay of their eigenfunctions

  • D. Krejčiřík
  • N. Raymond
  • J. Royer
  • P. Siegl
Article

Abstract

We consider non-self-adjoint electromagnetic Schrödinger 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.

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Copyright information

© Hebrew University of Jerusalem 2017

Authors and Affiliations

  • D. Krejčiřík
    • 1
    • 2
  • N. Raymond
    • 3
  • J. Royer
    • 4
  • P. Siegl
    • 5
    • 6
  1. 1.Department of Theoretical PhysicsNuclear Physics Institute ASCRŘežCzech Republic
  2. 2.Department of Mathematics, Faculty of Nuclear Sciences and Physical EngineeringCzech Technical University in PraguePrague 2Czech Republic
  3. 3.IRMARUniversité de Rennes 1, Campus de BeaulieuRennes cedexFrance
  4. 4.Institut de mathématiques de ToulouseUniversité Toulouse 3Toulouse cedex 9France
  5. 5.Mathematical InstituteUniversity of BernBernSwitzerland
  6. 6.ŘežCzech Republic

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