On the invalidity of Dirac's conjecture for a system with a singular higher-order Lagrangian

被引:2
|
作者
Jin, XY [1 ]
Li, ZP
机构
[1] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
[2] Beijing Polytech Univ, Dept Appl Phys, Beijing 100022, Peoples R China
来源
关键词
D O I
10.1088/0305-4470/34/47/321
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the canonical Nother's theorem and Poincare-Cartan integral invariant for a system with a singular higher-order Lagrangian, we present a counterexample with any higher-order derivatives, in which no linearizations of constraints are made to the system, showing that Dirac's conjecture is invalid.
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页码:10201 / 10207
页数:7
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