Canonically Covariant Formulation of Landau's Newtonian Superfluid Dynamics

摘要

The classical Landau theory of perfect (i.e. conservative) two constituent superfluid dynamics in Newton spacetime 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 4-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 non linear generalization of the Galilei group).