数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (4): 379-388.

• 论文 • 上一篇    下一篇

THE SYMMETRY TRANSFORMATION OF THE CONSTRAINED SYSTEM WITH HIGH-ORDER DERIVATIVES

李子平   

  1. Dept. of Appl. Phys., Beijing Polytechnic University, China
  • 收稿日期:1982-10-30 出版日期:1985-12-25 发布日期:1985-12-25

THE SYMMETRY TRANSFORMATION OF THE CONSTRAINED SYSTEM WITH HIGH-ORDER DERIVATIVES

Li Ziping   

  1. Dept. of Appl. Phys., Beijing Polytechnic University, China
  • Received:1982-10-30 Online:1985-12-25 Published:1985-12-25

摘要: We generalize the Noether's theorem to the constrained system whose motion is described in terms of the nonindependent state functions. The Lagrangian density and constraint conditions of the system may be involving high-order derivatives of the state functions. The translation, Lorentz and internal symmetry transformations are discussed. The application of our general results to the incompressible continuous media is given.

Abstract: We generalize the Noether's theorem to the constrained system whose motion is described in terms of the nonindependent state functions. The Lagrangian density and constraint conditions of the system may be involving high-order derivatives of the state functions. The translation, Lorentz and internal symmetry transformations are discussed. The application of our general results to the incompressible continuous media is given.