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Dirac mechanics and Landau two-fluid model in /sup 4/HeII

Journal Article:

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. The quantization of this system is left for a future paper.
Authors:
Rodriguez-Gomez, J [1] 
  1. Instituto Universitario Pedagogico de Caracas (Venezuela). Dept. de Matematica y Fisica
Publication Date:
Jul 01, 1980
Product Type:
Journal Article
Reference Number:
AIX-12-590400; EDB-81-101617
Resource Relation:
Journal Name: Int. J. Theor. Phys.; (United Kingdom); Journal Volume: 19:7
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HELIUM II; LANDAU LIQUID HELIUM THEORY; CLASSICAL MECHANICS; GAUGE INVARIANCE; HAMILTONIANS; POISSON EQUATION; SINGULARITY; SUPERFLUIDITY; DIFFERENTIAL EQUATIONS; EQUATIONS; EVEN-EVEN NUCLEI; FLUIDS; HELIUM 4; HELIUM ISOTOPES; INVARIANCE PRINCIPLES; ISOTOPES; LIGHT NUCLEI; MATHEMATICAL OPERATORS; MECHANICS; NUCLEI; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FLUIDS; QUANTUM OPERATORS; STABLE ISOTOPES; 640450* - Fluid Physics- Superfluidity
OSTI ID:
6275303
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: IJTPB
Submitting Site:
INIS
Size:
Pages: 477-484
Announcement Date:

Journal Article:

Citation Formats

Rodriguez-Gomez, J. Dirac mechanics and Landau two-fluid model in /sup 4/HeII. United Kingdom: N. p., 1980. Web. doi:10.1007/BF00671814.
Rodriguez-Gomez, J. Dirac mechanics and Landau two-fluid model in /sup 4/HeII. United Kingdom. doi:10.1007/BF00671814.
Rodriguez-Gomez, J. 1980. "Dirac mechanics and Landau two-fluid model in /sup 4/HeII." United Kingdom. doi:10.1007/BF00671814. https://www.osti.gov/servlets/purl/10.1007/BF00671814.
@misc{etde_6275303,
title = {Dirac mechanics and Landau two-fluid model in /sup 4/HeII}
author = {Rodriguez-Gomez, J}
abstractNote = {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. The quantization of this system is left for a future paper.}
doi = {10.1007/BF00671814}
journal = {Int. J. Theor. Phys.; (United Kingdom)}
volume = {19:7}
journal type = {AC}
place = {United Kingdom}
year = {1980}
month = {Jul}
}