Noether Equivalence Problem for Particle Lagrangians
نویسندگان
چکیده
منابع مشابه
Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians
The problem of equivalence of binary forms under the general linear group is shown to be a special case of the problem of equivalence of particle Lagrangians under the pseudogroup of transformations of both the independent and dependent variables. The latter problem has a complete solution based on the equivalence method of Cartan. This leads to the determination of a universal function which r...
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The problem of equivalence of binary forms under linear changes of variables is shown to be a special case of the problem of equivalence of particle Lagrangians under the pseudogroup of transformations of both the independent and dependent vartables. The latter problem has a complete solution based on the equivalence method of Cartan. There are two particular rational covariants of any binary f...
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A proof is given for the observation that the equations of motion for the companion Lagrangian without a square root, subject to some constraints, just reduce to the equations of motion for the companion Lagrangian with a square root in one less dimension. The companion Lagrangian is just an extension of the Klein-Gordon Lagrangian to more fields in order to provide a field description for stri...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1468