Volume 58, Number 1, April 2002
|Page(s)||1 - 6|
|Published online||01 August 2002|
A new method to deal with constraints in the context of the Faddeev-Jackiw method to treat constrained systems
Department of Physics, Guizhou University,
Guiyang 550025, PRC and Group 409, Institute of Physics,
CAS - Beijing 100080, PRC
2 Department of Applied Physics, Beijing Polytechnic University - Beijing 100022, PRC and College of Computer Science, Beijing Polytechnic University - Beijing 100022, PRC
Accepted: 28 December 2001
Constrained systems play an important role in modern field theory. In this paper, it has been pointed out that the symplectic algorithm, which is an extension of the Faddeev-Jackiw method for dealing with constraints, is not strict in mathematics, and may lead to wrong results for some systems. A new method has been proposed to deal with constraints in the context of the Faddeev-Jackiw method. Our method is more rigorous and simpler than the symplectic algorithm. The procedure of our method and some errors of the symplectic algorithm are demonstrated using Cawley's second counterexample to Dirac's conjecture.
PACS: 03.65.-w – Quantum mechanics / 45.05.+x – General theory of classical mechanics of discrete systems / 11.15.-q – Gauge field theories
© EDP Sciences, 2002
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