Publication
Title
Tracing the parameter dependence of quantum resonances with numerical continuation
Author
Abstract
In molecular reactions at the microscopic level the appearance of resonances has an important influence on the reactivity. To study when a bound state transitions into a resonance and how these transitions depend on various system parameters such as internuclear distances, one needs to look at the poles of the S-matrix. Using numerical continuation methods and bifurcation theory, we develop efficient and robust methods to trace the parameter dependence of the poles of the S-matrix. Using pseudo-arclength continuation, we can minimize the numerical complexity of our algorithm. As a proof-of-concept we have applied our methods on a number of model problems.
Language
English
Source (journal)
Journal of physics : B : atomic, molecular and optical physics / Physical Society. - London
Publication
London : 2009
ISSN
0022-3700
Volume/pages
42(2009), p. 044002,1-044002,6
ISI
000263061100003
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 24.02.2009
Last edited 01.08.2017
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