  In this work, magnetic geodesics over the space of K\"ahler potentials are
studied through a variational method for a generalized Landau-Hall functional.
The magnetic geodesic equation is calculated in this setting and its relation
to a perturbed complex Monge-Amp\`ere equation is given. Lastly, the magnetic
geodesic equation is considered over the special case of toric K\"ahler
potentials over toric K\"ahler manifolds.
