  We reinterpret the Schr\"{o}dinger equation as a continuity equation in the
space with the Cartan connection given by scaling Lie-B\"{a}cklund group on a
specific jet space. In this space, the wave function and their gradient
coordinates are treated as independent coordinates. This approach gives a full
Cartan connection form a divergence-free condition. Once constructed, the
connection makes it possible to investigate the geometry of the space on which
this Schr\"{o}dinger-Cartan connection is constructed. This is the idea that
generalizes the concepts present in de Broglie-Bohm (pilot wave) theory in a
geometric way. We also present this procedure for constructing (non-uniquely)
torsion-free Cartan connections for general Partial Differential Equations.
