CANONICALLY COVARIANT FORMULATION OF LANDAU'S NEWTONIAN SUPERFLUID DYNAMICS

Abstract

The classical Landau theory of perfect (i.e. conservative) two-constituent superfluid dynamics in Newton space-time is radically reformulated in a canonical presentation that helps to reveal symmetries and conservation properties (notably those of the thermal vorticity and helicity) that are obscured in the traditional treatment. This presentation uses a four-dimensional terminology that is more concise and elegant than the traditional 3 + 1 description and that simplifies the description of transformation properties under the action of the Milne group (i.e. the nonlinear generalization of the Galilei group).