SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems. III. Equivalent Lagrangian formalisms
Aguirre, M. ; Friedli, C. ; Krause, J.
College Park, Md. : American Institute of Physics (AIP)
Published 1992
College Park, Md. : American Institute of Physics (AIP)
Published 1992
| ISSN: |
1089-7658
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| Source: |
AIP Digital Archive
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| Topics: |
Mathematics
Physics
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| Notes: |
The SL(3,R) theory of projective transformations of the plane is applied to the Lagrangians of all one-dimensional Newtonian linear systems. Noether and non-Noether equivalent Lagrangians, as well as the associated Noether and non-Noether constants of motion, are thus obtained in a completely general and systematic way. Complete unification is achieved by this group-theoretic approach to Lagrangians of one-dimensional linear systems.
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| Type of Medium: |
Electronic Resource
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| URL: |