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Li Ziping, Jing Jian. On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1998, 24(2): 7-11.
Citation: Li Ziping, Jing Jian. On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1998, 24(2): 7-11.
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On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian

  • Department of Applied Physics, Beijing Polytechnic University, Beijing, 100022

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The Project is Supported by National Natural Science Foundation of China and Beijing Municipal Natural Sciences Foundation

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  • Received Date: March 31, 1997
  • Available Online: August 08, 2022
  • Published Date: June 09, 1998
    Graphical Abstract
    • Abstract
  • Based on the canonical Noether's theorem and Poincarè-Cartan integral invariant for a system with singular higher-order Lagrangian, we present a counterexample with 3-order derivatives in which there is no linearization of constraints for such system to show that Dirac's conjecture is invalid.
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