Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space
type: Item
instance of: scholarly article
title: Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space
zbMATH Open document ID: 0784.47045
DOI: 10.1007/BF01077087
publication date: 1993-01-16T00:00:00Z
review text: The asymptotic quantization scheme is proposed for the infinite- dimensional case. It is a generalization of the \textit{M. V. Karasev} and \textit{V. P. Maslov} method [Russ. Math. Surv. 39, No. 6, 133-205 (1984; Zbl 0588.58031)]. The quasi-classical solutions of the Schrödinger equations (with Hamiltonians on the Hilbert symplectic space) are constructed.
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 81S10
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 46N50
zbMATH DE Number: 95239
zbMATH Keywords: asymptotic quantization scheme
zbMATH Keywords: infinite-dimensional case
zbMATH Keywords: quasi- classical solutions of the Schrödinger equations
zbMATH Keywords: Hilbert symplectic space
author: Alexei Daletskii
reviewed by: V. A. Zagrebnov
MaRDI profile type: Publication
cites work: Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
cites work: Q5340804
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 95239