The Herglotz Algorithm for Constructing Canonical Transformations

In his 1932 lectures on "Beruhrungstransformationen" [Lecture Notes of the Juliusz Center for Nonlinear Studies, Guenther, Gottsch, and Guenther, Juliusz Center for Nonlinear Studies, 1996], Gustav Herglotz gave an algorithm for constructing canonical transformations. We present Herglotz&#...

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Bibliographic Details
Published in:SIAM review 1996-06, Vol.38 (2), p.287-293
Main Author: Macki, Jack
Format: Article
Language:English
Subjects:
Algorithms
Classroom Notes
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematical functions
Mathematics
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:In his 1932 lectures on "Beruhrungstransformationen" [Lecture Notes of the Juliusz Center for Nonlinear Studies, Guenther, Gottsch, and Guenther, Juliusz Center for Nonlinear Studies, 1996], Gustav Herglotz gave an algorithm for constructing canonical transformations. We present Herglotz's technique, which does not seem to be widely known today, as well as an application of his method. All calculations are carried out using Mathematica.
ISSN:0036-1445
1095-7200
DOI:10.1137/1038042