On Dirac's conjecture for Hamiltonian systems with first- and second-class constraints

Alejandro Cabo and Domingo Louis-Martinez
Phys. Rev. D 42, 2726 – Published 15 October 1990
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Abstract

It is shown for a wide class of systems in the framework of the total Hamiltonian procedure that all first-class constraints generate canonical transformations connecting physically equivalent states. It occurs whenever the constraints arising in the Dirac algorithm are effective when considered in the functional form as they appear in the consistency conditions. The property of hereditary separation between first- and second-class constraints also follows from the above condition. General Poisson-brackets relations among constraints in the representation used here are also obtained. The sources of anomalies in the hereditary property reported in the literature are identified.

  • Received 20 February 1990

DOI:https://doi.org/10.1103/PhysRevD.42.2726

©1990 American Physical Society

Authors & Affiliations

Alejandro Cabo

  • Instituto de Cibernetica, Matematica y Fisica, Academia de Ciencias de Cuba, Calle O, No. 8, Vedado, La Habana, Cuba

Domingo Louis-Martinez*

  • International Center for Theoretical Physics, Trieste, Italy
  • International School for Advanced Studies, Trieste, Italy

  • *Permanent address: Instituto de Cibernetica, Matematica y Fisica, Academia de Ciencias de Cuba, Calle 0, No. 8, Vedado, La Habana, Cuba.

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Vol. 42, Iss. 8 — 15 October 1990

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