The large time behaviour in quantum field theory and quantum chaos
type: Item
instance of: scholarly article
zbMATH Open document ID: 1027.81023
publication date: 2003-12-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/quant-ph/9910109
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 81Q50
zbMATH DE Number: 1574807
zbMATH Keywords: evolution operator
zbMATH Keywords: ABC-formula
zbMATH Keywords: S-matrix
zbMATH Keywords: Weisskopf-Wigner approximation
zbMATH Keywords: stochastic limit
author: I. Ya. Aref'eva
author: Igor V. Volovich
MaRDI profile type: Publication
arXiv ID: quant-ph/9910109
title: The large time behaviour in quantum field theory and quantum chaos
review text: The purpose of this paper is to obtain an exact general result about the large time behaviour of certain matrix elements of the evolution operator. The so-called ``ABC-formula'' obtained has the form \(\langle U\rangle= \exp^{At+B+C(t)}\). The constants \(A\) and \(B\) and the decreasing function \(C(t)\) are computed in the framework of perturbation theory. The formula includes the higher order corrections to the well known Weisskopf-Wigner approximation and to the stochastic (van Hove) limit. The theory developed is applicable to the large but not infinite time scales at which the \(S\)-matrix description is not valid.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].
reviewed by: Pavel Dyshlovenko
description: scientific article