Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains

Y. Almog; D. S. Grebenkov; B. Helffer

doi:10.1063/1.4999625

Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains

Y. Almog
, D. S. Grebenkov
, B. Helffer

Louisiana State University
Université de Nantes

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Generalizing previous results obtained for the spectrum of the Dirichlet and Neumann realizations in a bounded domain of a Schrödinger operator with a purely imaginary potential -h²Δ + iV in the semiclassical limit h → 0, we address the same problem in exterior domains. In particular, we obtain the left margin of the spectrum and the emptiness of the essential part of the spectrum under some additional assumptions.

langue originale	Anglais
Numéro d'article	041501
journal	Journal of Mathematical Physics
Volume	59
Numéro de publication	4
Les DOIs	https://doi.org/10.1063/1.4999625
état	Publié - 1 avr. 2018

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10.1063/1.4999625

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title = "Spectral semi-classical analysis of a complex Schr{\"o}dinger operator in exterior domains",

abstract = "Generalizing previous results obtained for the spectrum of the Dirichlet and Neumann realizations in a bounded domain of a Schr{\"o}dinger operator with a purely imaginary potential -h2Δ + iV in the semiclassical limit h → 0, we address the same problem in exterior domains. In particular, we obtain the left margin of the spectrum and the emptiness of the essential part of the spectrum under some additional assumptions.",

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AU - Grebenkov, D. S.

AU - Helffer, B.

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AB - Generalizing previous results obtained for the spectrum of the Dirichlet and Neumann realizations in a bounded domain of a Schrödinger operator with a purely imaginary potential -h2Δ + iV in the semiclassical limit h → 0, we address the same problem in exterior domains. In particular, we obtain the left margin of the spectrum and the emptiness of the essential part of the spectrum under some additional assumptions.

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DO - 10.1063/1.4999625

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JF - Journal of Mathematical Physics

IS - 4

M1 - 041501

ER -

Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains

Résumé

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