Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation
type: Item
instance of: scholarly article
title: Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation
zbMATH Open document ID: 0845.58019
DOI: 10.1007/BF01048065
author: Zdzislaw Brzezniak
author: S. Albeverio
author: Anne Boutet De Monvel
published in: Potential Analysis
publication date: 1996-02-01T00:00:00Z
review text: The authors continue their work on developing an approach by finite dimensional approximations for the study of infinite-dimensional oscillatory integrals and the relative method of stationary phase. Here the previous results are extended in several directions. In particular, the asymptotic expansions in both non-degenerate and degenerate cases are described in details. As an application a detailed asymptotic expansion in Planck's constant for the Schrödinger equation is derived.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 81Q20
zbMATH DE Number: 826837
zbMATH Keywords: approximations
zbMATH Keywords: infinite-dimensional oscillatory integrals
zbMATH Keywords: stationary phase
zbMATH Keywords: Schrödinger equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 826837