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约束Hamilton系统的Lie对称性及其在场论中的应用

周景润 傅景礼

周景润, 傅景礼. 约束Hamilton系统的Lie对称性及其在场论中的应用[J]. 应用数学和力学, 2019, 40(7): 810-822. doi: 10.21656/1000-0887.390218
引用本文: 周景润, 傅景礼. 约束Hamilton系统的Lie对称性及其在场论中的应用[J]. 应用数学和力学, 2019, 40(7): 810-822. doi: 10.21656/1000-0887.390218
ZHOU Jingrun, FU Jingli. Lie Symmetry of Constrained Hamiltonian Systems and Its Application in Field Theory[J]. Applied Mathematics and Mechanics, 2019, 40(7): 810-822. doi: 10.21656/1000-0887.390218
Citation: ZHOU Jingrun, FU Jingli. Lie Symmetry of Constrained Hamiltonian Systems and Its Application in Field Theory[J]. Applied Mathematics and Mechanics, 2019, 40(7): 810-822. doi: 10.21656/1000-0887.390218

约束Hamilton系统的Lie对称性及其在场论中的应用

doi: 10.21656/1000-0887.390218
基金项目: 国家自然科学基金(11272287;11872335;11472247);浙江省科技创新团队(2013TD18)
详细信息
    作者简介:

    周景润(1988—),男,硕士(E-mail: 869569521@qq.com);傅景礼(1955—),男,教授,博士,博士生导师(通讯作者. E-mail: sqfujingli@163.com).

  • 中图分类号: O302;O34;O369

Lie Symmetry of Constrained Hamiltonian Systems and Its Application in Field Theory

Funds: The National Natural Science Foundation of China(11272287;11872335;11472247)
  • 摘要: 研究了约束Hamilton系统的Lie对称性,得到了场论系统的守恒量.首先给出约束Hamilton系统的正则运动方程和固有约束方程;其次构建了约束Hamilton 系统的Lie对称性确定方程和结构方程;然后给出了约束Hamilton系统的Lie守恒定理和守恒量;最后研究了复标量场与Chern-Simons项耦合系统的Lie对称性和另外一个例子以说明此方法在场论中的应用.
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出版历程
  • 收稿日期:  2018-08-07
  • 修回日期:  2018-09-07
  • 刊出日期:  2019-07-01

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