高阶微商奇异Lagrange量系统Dirac猜想的无效性(Ⅱ)

靳小軏; 李子平

靳小軏, 李子平. 高阶微商奇异Lagrange量系统Dirac猜想的无效性(Ⅱ)[J]. 北京工业大学学报, 1999, 25(2): 19-24.

引用本文:

靳小軏, 李子平. 高阶微商奇异Lagrange量系统Dirac猜想的无效性(Ⅱ)[J]. 北京工业大学学报, 1999, 25(2): 19-24.

Jin Xiaoyue, Li Ziping. Invalidity of Dirac's Conjecture for a System with A Singular Any Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1999, 25(2): 19-24.

Citation:

Jin Xiaoyue, Li Ziping. Invalidity of Dirac's Conjecture for a System with A Singular Any Higher-order Lagrangian[J]. Journal of Beijing University of Technology, 1999, 25(2): 19-24.

高阶微商奇异Lagrange量系统Dirac猜想的无效性(Ⅱ)

Invalidity of Dirac's Conjecture for a System with A Singular Any Higher-order Lagrangian

摘要

摘要: 基于约束Hamilton系统的正则形式Noether定理和Poincaré-Cartan积分不变量,给出高阶微商奇异Lagrange量系统Dirac猜想的反例,说明Dirac猜想失效.其中对约束未作线性化处理.

Abstract: Based on the canonical Noether's theorem and Poincaré-Cartan integral invariant for a system with a singular higher-order Lagrangian, the counterexample with N-order derivative is given to show that dirac's conjecture fails. There is no linearization of constraints in our formulation.

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