Nonstandard analysis in classical physics and quantum formal scattering
type: Item
instance of: scholarly article
title: Nonstandard analysis in classical physics and quantum formal scattering
zbMATH Open document ID: 0651.03045
DOI: 10.1007/BF00668838
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: It is shown that nonstandard analysis allows to avoid limit procedures in the expressions for a Green function etc.: namely, expressions like \(x+/0\), that are usually understood as \(\lim (x+a)\) as a tends to 0, \(a\to 0\), can be changed to \(x+a\), where a is a positive infinitesimal number.
Mathematics Subject Classification ID: 03H10
Mathematics Subject Classification ID: 81T99
zbMATH DE Number: 4061233
zbMATH Keywords: formal quantum scattering
zbMATH Keywords: nonstandard analysis
zbMATH Keywords: Green function
author: Fabio Bagarello
author: Santi Valenti
MaRDI profile type: Publication
cites work: Applications of non-standard analysis to relativistic quantum mechanics. I
cites work: Applications of nonstandard analysis to spin models
cites work: Stochastic difference equations with non-integral differences
description: scientific article; zbMATH DE number 4061233