Stability properties of Feynman's operational calculus for exponential functions of noncommuting operators
type: Item
instance of: scholarly article
title: Stability properties of Feynman's operational calculus for exponential functions of noncommuting operators
zbMATH Open document ID: 1041.46053
DOI: 10.1023/A:1021155700823
author: Lance Nielsen
published in: Acta Applicandae Mathematicae
publication date: 2003-03-11T00:00:00Z
review text: Feynman's operational calculus has been discussed by Johnson, Lapadus, Defacio, Jefferies and the author. In this paper, the author treats the stability properties of Feynman's operational calculus for exponential functions of noncommuting operators. He considers the stability of the distangled exponential function with respect to the time-ordering measures and the stability of the exponential distangling series with respect to the operator-valued functions. He also discusses the time-dependent perturbation theory of nonrelativistic quantum mechanics and application of the stability results to this perturbation theory.
reviewed by: Joo Sup Chang
Mathematics Subject Classification ID: 46T12
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 81Q15
Mathematics Subject Classification ID: 46N50
zbMATH DE Number: 1879604
zbMATH Keywords: stability
zbMATH Keywords: Feynman's operational calculus
zbMATH Keywords: path integral
zbMATH Keywords: perturbation series
MaRDI profile type: Publication
full work available at URL: a:1021155700823
OpenAlex ID: W54459847
description: scientific article; zbMATH DE number 1879604