An inverse problem in quantum field theory and canonical correlation functions
type: Item
instance of: scholarly article
title: An inverse problem in quantum field theory and canonical correlation functions
zbMATH Open document ID: 0927.46055
author: Masao Hirokawa
published in: Journal of the Mathematical Society of Japan
publication date: 1999-12-06T00:00:00Z
review text: We treat a quantum harmonic oscillator in thermal equilibrium with any systems in certain classes of bosons with infinitely many degrees of freedom. We describe the following results: (i) when a canonical correlation function is given, we so reconstruct a Hamiltonian by the rotating wave approximation from it that the Hamiltonian restores it. Namely, we solve an inverse problem in the quantum field theory at finite temperature in a finite volume. (ii) Taking an infinite volume limit for the result in (i), we consider long-time behavior of the canonical correlation function in the infinite volume limit.
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 47L60
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 47N55
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 1336922
zbMATH Keywords: inverse problem
zbMATH Keywords: quantum field theory
zbMATH Keywords: finite temperature
zbMATH Keywords: infinite volume limit
zbMATH Keywords: rotating wave approximation
zbMATH Keywords: quantum harmonic oscillator in thermal equilibrium
zbMATH Keywords: canonical correlation function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05120337
OpenAlex ID: W2084184716
DOI: 10.2969/JMSJ/05120337
description: scientific article; zbMATH DE number 1336922