  The goal of this paper is manyfold. Firstly, we want to give a short
introduction to the Bochner Laplacian and explain why it acts locally as a
magnetic Laplacian. Secondly, given a confining magnetic field, we use
Agmon-like estimates to reduce its spectral study to magnetic Laplacians, in
the semiclassical limit. Finally, we use this to translate already-known
spectral asymptotics for the magnetic Laplacian to the Bochner Laplacian.
