The method of Airy averaging and some useful applications
type: Item
instance of: scholarly article
title: The method of Airy averaging and some useful applications
zbMATH Open document ID: 0953.34035
DOI: 10.1023/A:1019120130229
author: G. P. Arrighini
author: N. Durante
author: C. Guidotti
publication date: 2000-09-06T00:00:00Z
review text: The authors employ Airy averaging methods to quantum mechanics problems which involve Airy functions. They are used to verify orthonormality and completeness, properties important in the study of collision-induced dissociation processes. The new tool, ``Airy averaging'', is introduced in this work and is applied to a few concrete examples. The main contribution of this work is the application of these tools in modeling physical phenomena, such as producing a very smooth one-dimensional nanostructure of a semi-conducting system.
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 1445825
zbMATH Keywords: quantum mechanics
zbMATH Keywords: Airy averaging
zbMATH Keywords: nanostructure
zbMATH Keywords: Airy functions
zbMATH Keywords: orthonormality
zbMATH Keywords: completeness
zbMATH Keywords: collision-induced dissociation processes
reviewed by: Shlomo Carmi
MaRDI profile type: Publication
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1445825