Resonances for homoclinic trapped sets /

Resonances for homoclinic trapped sets /

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Bibliographic Details
Author / Creator:	Bony, Jean-François, author.
Imprint:	Paris : Société Mathématique de France, 2018. ©2018
Description:	vii, 314 pages : illustrations ; 24 cm.
Language:	English
Series:	Astérisque ; 405 Astérisque ; 405.
Subject:	Schrödinger operator. Dynamics. Asymptotes. Microlocal analysis. Quantum theory -- Mathematical models. Resonance.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11777911

Hidden Bibliographic Details
Other authors / contributors:	Fujiie, Setsurō, author. Ramond, Thierry, author. Zerzeri, Maher, author.
ISBN:	9782856298947 285629894X
Notes:	Includes bibliographical references (pages 307-314). Abstract also in French.
Summary:	"We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis. Then, we obtain a quantization rule and the asymptotic expansion of the resonances when there is a finite number of homoclinic trajectories. The same kind of results is proved for homoclinic sets of maximal dimension. Next, we generalize to the case of homoclinic/heteroclinic trajectories and we study the three bump case. In all these settings, the resonances may either accumulate on curves or form clouds. We also describe the corresponding resonant states"--Page 4 of cover.

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Call Number:	QC174.17.S3 B66 2018
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