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

By XY Jin and ZP Li


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.Physics, MultidisciplinaryPhysics, MathematicalSCI(E)2ARTICLE4710201-102073

Publisher: 物理学学报a辑 数理与普通物理学
Year: 2001
DOI identifier: 10.1088/0305-4470/34/47/321
OAI identifier: oai:localhost:20.500.11897/147870
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