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.
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.
