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Momentum-Dependent Symmetries and Non-Noether Conserved Quantities for Nonconservative Hamilton Systems

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In this letter, based on the infinitesimal transformations with respect to the generalized coordinates and generalized momentums, we obtain the definition, determining equations and structure equation of the momentum-dependent symmetry for the systems. This study directly leads to the non-Noether type conserved quantity for the systems. Further we also give the inverse issue of the momentum-dependent symmetries of the systems. However, a theory of momentum-dependent symmetries of the nonconservative Hamiltonian systems is established. Finally, an example is discussed to illustrate the results.

10.1163/157361106776240770
/content/journals/10.1163/157361106776240770
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/content/journals/10.1163/157361106776240770
2006-04-01
2016-12-07

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