Pseudomodes for Schroedinger operators with complex potentials

David Krejcirik; Petr Siegl

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arXiv · 1705.01894

Pseudomodes for Schroedinger operators with complex potentials

David Krejcirik·Petr Siegl

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Abstract

For one-dimensional Schroedinger operators with complex-valued potentials, we construct pseudomodes corresponding to large pseudoeigenvalues. Our (non-semi-classical) approach results in substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including discontinuous ones.

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BibTeX RIS

David Krejcirik, Petr Siegl. 2017-05-04. Pseudomodes for Schroedinger operators with complex potentials. https://arxiv.org/abs/1705.01894

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