Work

Pseudomodes for Schroedinger operators with complex potentials

Year: 2017

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1705.01894

Authors: Krejcirik, David, Siegl, Petr

Institution: Czech Technical University in Prague

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, American Institute of Mathematics, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Grantová Agentura České Republiky

Awards: G4430097687, Spectral analysis of non-self-adjoint operators with applications in mathematical physics

OpenAlex ID: W2610621994

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