title: |
The Maupertuis Principle and Canonical Transformations of the Extended Phase Space |
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publication: |
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| volume-issue: | 8 - 1 | |
| pages: | 157 - 182 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2001.8.1.12 (how to use a DOI) | |
author(s): |
A V TSIGANOV |
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publication date: |
February 2001 |
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abstract: |
We discuss some special classes of canonical transformations of the extended phase
space, which relate integrable systems with a common Lagrangian submanifold. Vrious parametric forms of trajectories are associated with different integrals of motion,
Lax equations, separated variables and action-angles variables. In this review we will
discuss namely these induced transformations instead of the various parametric form
of the geometric objects. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |