Details for: The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit

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The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit / Y. Almog, B. Helffer

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Niveau de l'ensemble: Mémoire de la Société mathématique de France, 0249-633X, 166Auteur principal: Almog, Yaniv, 19..-...., mathématicien, AuteurCo-auteur: Helffer, Bernard, 1949-...., AuteurLangue : anglais, du résumé, anglais, du résumé, françaisPays : France.Publication : Paris : Société mathématique de France, 2020Description: 1 vol. (vi-94 p.), ill., 24 cmISBN : 9782856299289.Résumé : Consider a two-dimensional domain shaped like a wire, not necessarily of uniform cross section. Let V denote an electric potential driven by a voltage drop between the conducting surfaces of the wire. We consider the operator Ah=−h2Δ+iV in the semi-classical limit h→0. We obtain both the asymptotic behavior of the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for potentials for which the set where the current (or ∇V) is normal to the boundary is discrete, in contrast with the present case where V is constant along the conducting surfaces. [source : 4e de couv.].Bibliographie : Bibliogr. p. [91]-92.Sujet - Nom commun: Schrödinger, Opérateur de | Théorie de Ginzburg-Landau

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Item type	Current library	Call number	Status	Date due	Barcode
Ouvrage	La bibliothèque de l'ESPCI Magasin	MA-171 (Browse shelf(Opens below))	Available		MA-171

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Résumé en anglais et en français

N° de : "Mémoires de la Société mathématique de France", ISSN 0249-633X, (2020)n°166

Bibliogr. p. [91]-92

Consider a two-dimensional domain shaped like a wire, not necessarily of uniform cross section. Let V denote an electric potential driven by a voltage drop between the conducting surfaces of the wire. We consider the operator Ah=−h2Δ+iV in the semi-classical limit h→0. We obtain both the asymptotic behavior of the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for potentials for which the set where the current (or ∇V) is normal to the boundary is discrete, in contrast with the present case where V is constant along the conducting surfaces. [source : 4e de couv.]