李子平, 荆坚. 奇异高阶拉氏量系统Dirac猜想的无效性[J]. 北京工业大学学报, 1998, 24(2): 7-11.
    引用本文: 李子平, 荆坚. 奇异高阶拉氏量系统Dirac猜想的无效性[J]. 北京工业大学学报, 1998, 24(2): 7-11.
    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.

    奇异高阶拉氏量系统Dirac猜想的无效性

    On the Invalidity of Dirac's Conjecture for A System with Singular Higher-order Lagrangian

    • 摘要: 基于奇异高阶拉氏量系统的正则Noether定理和poincarè-Catan积分不变量,给出一个三阶微商的反例,其中约束未作线性化,提出Dirac猜想是无效的.

       

      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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