A unified symmetry of mechanical systems with variable mass in phase space

Peng Wang; Jian Hui Fang; Peng Yu Zhang; Ning Ding

doi:10.1088/0253-6102/46/3/001

A unified symmetry of mechanical systems with variable mass in phase space

Peng Wang, Jian Hui Fang, Peng Yu Zhang, Ning Ding

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.

Original language	English
Pages (from-to)	385-388
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	46
Issue number	3
DOIs	https://doi.org/10.1088/0253-6102/46/3/001
State	Published - 15 Sep 2006
Externally published	Yes

Keywords

Conserved quantity
Phase space
Unified symmetry
Variable mass system

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10.1088/0253-6102/46/3/001

Cite this

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title = "A unified symmetry of mechanical systems with variable mass in phase space",

abstract = "In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.",

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author = "Peng Wang and Fang, {Jian Hui} and Zhang, {Peng Yu} and Ning Ding",

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AU - Wang, Peng

AU - Fang, Jian Hui

AU - Zhang, Peng Yu

AU - Ding, Ning

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Y1 - 2006/9/15

N2 - In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.

AB - In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.

KW - Conserved quantity

KW - Phase space

KW - Unified symmetry

KW - Variable mass system

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DO - 10.1088/0253-6102/46/3/001

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JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

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A unified symmetry of mechanical systems with variable mass in phase space

Abstract

Keywords

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