Relativistic superfluid vortices and Helmholz's theorem

Ben-Ya'Acov, Uri

doi:doi/10.1088/0305-4470/27/21/032

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Relativistic superfluid vortices and Helmholz's theorem

par Ben-Ya'Acov, Uri

Référence Journal of Physics A: Mathematical and General, 27, 21, page (7165-7176), 032
Publication Publié, 1994

Article révisé par les pairs

Résumé :

The dynamics of relativistic quantum vortices were recently analysed in a model based on the nonlinear wave equation for a complex scalar field. These results are presented here in the context of relativistic pure superfluids and the existence of the correct non-relativistic limit is verified. Relativistic superfluid vortices are essentially different from their Newtonian limit-their equation of motion contains an acceleration term, absent in non-relativistic vortex dynamics. Still, it is shown that under certain conditions, the relativistic Euler equation and Helmholz's theorem are obtained as limiting cases.

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