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Dirac mechanics and Landau two-fluid model in4HE II

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Abstract

This paper is devoted to the development of the Dirac formalism for singular systems when applied to the Landau two-fluid model in superfluid helium. Notably, the Hamiltonian density is weakly zero (in the sense of Dirac). We obtain the physical and gauge variables, and show that all the constraints are of first class, and hence, that the Dirac bracket coincides with the Poisson bracket. We leave the quantization of this system for a later work.

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Authors and Affiliations

  1. Departamento de Matematica y Fisica, Instituto Universitario Pedagogico de Caracas, Av. Palz, El Paraiso, Caracas 102, Venezuela

    Jesús Rodríguez-Gómez

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  1. Jesús Rodríguez-Gómez
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Rodríguez-Gómez, J. Dirac mechanics and Landau two-fluid model in4HE II. Int J Theor Phys 19, 477–484 (1980). https://doi.org/10.1007/BF00671814

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  • DOI: https://doi.org/10.1007/BF00671814

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