Marsden, J. E. (1968) Hamiltonian one parameter groups. Archive for Rational Mechanics and Analysis, 28 (5). pp. 362-396. ISSN 0003-9527. doi:10.1007/BF00251662. https://resolver.caltech.edu/CaltechAUTHORS:20100824-100207998
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Abstract
Our purpose is to give an exposition of the foundations of non-linear conservative mechanical systems with an infinite number of degrees of freedom. Systems we have in mind are the vibrating string, the electromagnetic field and quantum mechanics. These are all linear. We also outline a non-linear example, the coupled Maxwell and Dirac fields. Perfect fluids will be discussed elsewhere.
| Item Type: | Article | ||||||
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| Additional Information: | © 1968, Springer-Verlag. Communicated by C. TRUESDELL. | ||||||
| Issue or Number: | 5 | ||||||
| DOI: | 10.1007/BF00251662 | ||||||
| Record Number: | CaltechAUTHORS:20100824-100207998 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100824-100207998 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 19626 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 01 Sep 2010 21:14 | ||||||
| Last Modified: | 08 Nov 2021 23:53 |
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