Non－Noether conserved quantity of a general form for mechanical systems with variable mass | Zendy

Fang Jian-Hui | Zendy; Liao Yong-Pan | Zendy; Zhang Jun | Zendy

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Non－Noether conserved quantity of a general form for mechanical systems with variable mass

Author(s) -

Fang Jian-Hui,

Liao Yong-Pan,

Zhang Jun

Publication year - 2004

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.53.4037

Subject(s) - noether's theorem , conserved quantity , infinitesimal , variable (mathematics) , symmetry (geometry) , mathematical physics , mathematics , pure mathematics , physics , lagrangian , classical mechanics , mathematical analysis , geometry

In this paper, we study the non-Noether conserved quantity of Lie symmetry for m echanical systems with variable mass under a general infinitesimal transformatio n. The Hojman theorem is further generalized. The non-Noether conserved qu antity o f a general form for mechanical systems with variable mass is obtained. An examp le is given to illustrate the application of the result.

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