SYMMETRY AND INVARIANT IN GENERALIZED MECHANICAL SYSTEMS IN THE HIGH-DIMENSIONAL EXTENDED PHASE SPACE

QIAO YONG-FEN; LI REN-JIE; ZHAO SHU-HONG

doi:10.7498/aps.50.811

Abstract
By means of the invariance of Hamilton’s action under infinitesimal transformation in the high-dimensional extended phase space, the symmetry and invariant of the generalized holonomic conservative and nonconservative mechanical systems and some related propositions are obtained. Finally one example is given.

Keywords:
extended phase space /

generalized mechanics /

symmetry /

invariant
Authors and contacts
QIAO YONG-FEN,

LI REN-JIE,

ZHAO SHU-HONG

1.
东北农业大学,哈尔滨150030
References

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Vol. 50, Issue 5 - 2001-03-05

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SYMMETRY AND INVARIANT IN GENERALIZED MECHANICAL SYSTEMS IN THE HIGH-DIMENSIONAL EXTENDED PHASE SPACE

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SYMMETRY AND INVARIANT IN GENERALIZED MECHANICAL SYSTEMS IN THE HIGH-DIMENSIONAL EXTENDED PHASE SPACE

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