Physical applications of a metric formulation of Galilean invariance Marc de Montigny
(montigny@phys.ualberta.ca)
Abstract We describe a five-dimensional metric formulation of Galilean covariance and illustrate it with various examples in field theory. As an first illustration, we recover the two Galilean limits of electromagnetism first examined by Le Bellac and L\'evy-Leblond. Then we describe the field theoretical formulation of some fluids and superfluids models : Navier-Stokes equation, Takahashi Lagrangian for irrotational fluids and Thellung-Ziman Lagrangian for Helium II. Our last examples treat non-relativistic Bhabha equations for spin 0 and 1 particles, and Dirac equation for spin 1/2. |