Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass | Zendy

Xiangwei Chen | Zendy; Zhao Yong-hong | Zendy; Chang Liu | Zendy

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Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass

Author(s) -

Xiangwei Chen,

Zhao Yong-hong,

Chang Liu

Publication year - 2009

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.58.5150

Subject(s) - noether's theorem , conformal symmetry , conserved quantity , holonomic , symmetry (geometry) , conformal map , physics , mathematical physics , holonomic constraints , conformal field theory , variable (mathematics) , classical mechanics , lagrangian , mathematics , mathematical analysis , quantum mechanics , geometry

In this paper, the conformal invariance of holonomic mechanical systems with variable mass is studied. The necessary and the sufficient conditions of conformal invariance of the system are obtained and shown to be also those of Lie symmetry simultaneously. Finally the Noether conserved quantities of conformal invariance are presented.

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