Feynman path integrals on phase space and the metaplectic representation
type: Item
instance of: scholarly article
title: Feynman path integrals on phase space and the metaplectic representation
zbMATH Open document ID: 0848.58008
DOI: 10.1007/BF02622118
author: Dietmar A. Salamon
author: Joel W. Robbin
published in: Mathematische Zeitschrift
publication date: 1996-11-04T00:00:00Z
full work available at URL: https://eudml.org/doc/174852
review text: The authors create some analogue of Feynman's path integral approach to quantum mechanics but they use paths in phase space rather than in configuration space and use the symplectic action integral rather than the classic Lagrangian integral. The main difference with respect to other investigations in this direction is that the authors consider (inhomogeneous) quadratic Hamiltonians which allows them to obtain some new results. In particular they obtain Leray's formula for the metaplectic representation.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 81S40
zbMATH DE Number: 861953
zbMATH Keywords: Feynman's path integral
zbMATH Keywords: phase space
zbMATH Keywords: quadratic Hamiltonians
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 861953