CANONICALLY COVARIANT FORMULATION OF LANDAU NEWTONIAN SUPERFLUID DYNAMICS

The classical Landau theory of perfect (i.e. conservative) two-constit uent superfluid dynamics in Newton space-time is radically reformulate d in a canonical presentation that helps to reveal symmetries and cons ervation properties (notably those of the thermal vorticity and helici ty) that are obscured in the traditional treatment. This presentation uses a four-dimensional terminology that is more concise and elegant t han the traditional 3 + 1 description and that simplifies the descript ion of transformation properties under the action of the Milne group ( i.e. the nonlinear generalization of the Galilei group).