Non-accretive Schrödinger operators and exponential decay of their eigenfunctions

David Krejcirik; Nicolas Raymond; Julien Royer; Petr Siegl

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arXiv · 1605.02437

Non-accretive Schrödinger operators and exponential decay of their eigenfunctions

David Krejcirik·Nicolas Raymond·Julien Royer·Petr Siegl

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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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BibTeX RIS

David Krejcirik, Nicolas Raymond, Julien Royer, Petr Siegl. 2016-05-09. Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. https://arxiv.org/abs/1605.02437

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