方蕊, 朱建青. 时间尺度上变质量非完整系统相对于非惯性系的Noether对称性[J]. 云南大学学报(自然科学版), 2022, 44(3): 515-521. doi: 10.7540/j.ynu.20210065
引用本文: 方蕊, 朱建青. 时间尺度上变质量非完整系统相对于非惯性系的Noether对称性[J]. 云南大学学报(自然科学版), 2022, 44(3): 515-521. doi: 10.7540/j.ynu.20210065
FANG Rui, ZHU Jian-qing. On Noether symmetry of relativity to non-inertial systems for variable mass nonholonomic systems on time scales[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(3): 515-521. DOI: 10.7540/j.ynu.20210065
Citation: FANG Rui, ZHU Jian-qing. On Noether symmetry of relativity to non-inertial systems for variable mass nonholonomic systems on time scales[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(3): 515-521. DOI: 10.7540/j.ynu.20210065

时间尺度上变质量非完整系统相对于非惯性系的Noether对称性

On Noether symmetry of relativity to non-inertial systems for variable mass nonholonomic systems on time scales

  • 摘要: 研究时间尺度上变质量非完整系统相对于非惯性系的Noether对称性与守恒量. 在Hamilton原理的基础上,建立了时间尺度上变质量非完整系统相对于非惯性系的运动方程. 给出该系统的Noether广义准对称性的判据与守恒量,并对守恒量进行证明. 文末给出算例对研究结果的应用进行说明.

     

    Abstract: The Noether symmetry and conserved quantity of variable mass nonholonomic systems relative to non-inertial systems on time scale have been studied in the research. On the basis of Hamilton principle, the equation of motion of the variable mass nonholonomic systems relative to non-inertial systems on time scales have been established. The criterion of Noether generalized quasi-symmetry and conserved quantity of this system are given, and the conserved quantity has been proved. Finally, an example is given to illustrate the application of the research results.

     

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