Distribution of scattering resonances for generic Schrödinger operators

Dinh, Tien-Cuong; Nguyên, Viêt-Anh

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.jfa.2019.108446

Title :

Distribution of scattering resonances for generic Schrödinger operators

Author(s) :

Dinh, Tien-Cuong [Auteur]
National University of Singapore [NUS]
Nguyên, Viêt-Anh [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal of Functional Analysis

Pages :

108446

Publisher :

Elsevier

Publication date :

2020-06

ISSN :

0022-1236

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Let −Δ + V be the Schrödinger operator acting on L2 (Rd , C) with d ≥ 3 odd. Here V is a bounded real- or complex-valued function vanishing outside the closed ball of center 0 and radius a. If V belongs to the class Ma of ...
Show more >Let −Δ + V be the Schrödinger operator acting on L2 (Rd , C) with d ≥ 3 odd. Here V is a bounded real- or complex-valued function vanishing outside the closed ball of center 0 and radius a. If V belongs to the class Ma of potentialsintroduced by Christiansen, we show that when r → ∞, the resonances of −Δ + V , scaled down by the factor r,are asymptotically distributed, with respect to an explicit probability distribution on the lower unit half-disc of thecomplex plane. The rate of convergence is also considered for subclasses of potentials.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

1709.06375
Open access
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