Feynman path integrals as infinite-dimensional oscillatory integrals: Some new developments
type: Item
instance of: scholarly article
title: Feynman path integrals as infinite-dimensional oscillatory integrals: Some new developments
zbMATH Open document ID: 0813.58009
DOI: 10.1007/BF00994909
author: Zdzislaw Brzezniak
author: S. Albeverio
published in: Acta Applicandae Mathematicae
publication date: 1995-05-14T00:00:00Z
review text: The authors study the Feynman path integral starting with infinite- dimensional oscillatory (Fresnel) integrals. Recently developed approximation techniques via finite-dimensional oscillatory integrals is applied to obtain new results on the asymptotics of Feynman integrals. Then applications are given to the study of the trace of the time evolution operator in quantum mechanics and to interpretation of ``Gutzwiller trace formula''.
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 58K99
Mathematics Subject Classification ID: 81Q30
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 35S30
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 627449
zbMATH Keywords: trace formula
zbMATH Keywords: Feynman path integral
zbMATH Keywords: oscillatory integrals
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 627449