Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix

The purpose of this paper is to describe the basic problems of resonances via meromorphic continuation of the resolvent and the scattering matrix. An example from mathematical physics is given by investigating the poles of the resolvent of semiclassical Schr¨odinger operators and Born-Oppenheimer Ha...

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Main Authors:	Soumia Belmouhoub, Bekkai Messirdi, Abderrahmane Senoussaoui
Format:	Article
Language:	English
Published:	Etamaths Publishing 2020-03-01
Series:	International Journal of Analysis and Applications
Online Access:	http://etamaths.com/index.php/ijaa/article/view/2071

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spelling	doaj-999549fc6d7842a2914cf3eb3f76f8bb2021-08-26T13:44:40ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-03-01182262276442Semiclassical Resonances via Meromorphy of the Resolvent and the S-MatrixSoumia Belmouhoub0Bekkai Messirdi1Abderrahmane Senoussaoui2Department of Mathematics and Informatics, University of MostaganemLaboratory of Fundamental and Applicable Mathematics of Oran (LMFAO). University of Oran1, Ahmed Benbella, Oran, Algeria.Department of Mathematics, Faculy of Exact and Applicable Sciences. University of Oran1 Ahmed Ben Bella, Algeria., Laboratory of Fundamental and Applicable Mathematics of Oran (LMFAO), Algeria.The purpose of this paper is to describe the basic problems of resonances via meromorphic continuation of the resolvent and the scattering matrix. An example from mathematical physics is given by investigating the poles of the resolvent of semiclassical Schr¨odinger operators and Born-Oppenheimer Hamiltonians. Mathematical techniques, dilation-analyticity and Feshbach reduction are used here for the characterization of resonances of these Hamiltonians.http://etamaths.com/index.php/ijaa/article/view/2071
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Soumia Belmouhoub Bekkai Messirdi Abderrahmane Senoussaoui
spellingShingle	Soumia Belmouhoub Bekkai Messirdi Abderrahmane Senoussaoui Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix International Journal of Analysis and Applications
author_facet	Soumia Belmouhoub Bekkai Messirdi Abderrahmane Senoussaoui
author_sort	Soumia Belmouhoub
title	Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix
title_short	Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix
title_full	Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix
title_fullStr	Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix
title_full_unstemmed	Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix
title_sort	semiclassical resonances via meromorphy of the resolvent and the s-matrix
publisher	Etamaths Publishing
series	International Journal of Analysis and Applications
issn	2291-8639
publishDate	2020-03-01
description	The purpose of this paper is to describe the basic problems of resonances via meromorphic continuation of the resolvent and the scattering matrix. An example from mathematical physics is given by investigating the poles of the resolvent of semiclassical Schr¨odinger operators and Born-Oppenheimer Hamiltonians. Mathematical techniques, dilation-analyticity and Feshbach reduction are used here for the characterization of resonances of these Hamiltonians.
url	http://etamaths.com/index.php/ijaa/article/view/2071
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Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix

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