Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian Systems

WU Hui-bin. Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian SystemsJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2004, 13(1): 94-95.

Citation:

WU Hui-bin. Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian SystemsJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2004, 13(1): 94-95.

Citation:

WU Hui-bin. Lie Symmetry and Non-Noether Conserved Quantity for Hamiltonian SystemsJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2004, 13(1): 94-95.

Abstract

A non-Noether conserved quantity for the Hamiltonian system is studied. A particular infinitesimal transformation is given and the determining equations of Lie symmetry are established. An existence theorem of the non-Noether conserved quantity is obtained. An example is given to illustrate the application of the result.

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