On the Lévy-Leblond–Newton equation and its symmetries: a geometric view
On the Lévy-Leblond–Newton equation and its symmetries: a geometric view
The L\'evy-Leblond-Newton (LLN) equation for non-relativistic fermions with a gravitational self-interaction is reformulated within the framework of a Bargmann structure over a $(n+1)$-dimensional Newton-Cartan (NC) spacetime. The Schr\"odinger-Newton (SN) group, introduced in [21] as the maximal group of invariance of the SN equation, turns out to be also the group …