On singular lagrangians and Dirac's method
Keywords:
Singular lagrangian, classical mechanics, special relativityAbstract
We show some instances of singular lagrangians from the classical mechanics of particles and apply Dirac's method for building the canonical equations. We find then the reason for the singularity, and therefore, we get the Hamilton equations with the familiar procedure, that is without the need of Dirac's procedure. Known cases of singular lagrangians in special relativity are also presented, and their non-singular alternatives.Downloads
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Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.