  This paper mainly discuss the regularity behavior of the hyperbolic magnetic
Schroedinger equation with singular coefficients near the origin. We apply the
techniques from the microlocal analysis to explore the upper bound of loss of
regularity. Furthermore, in order to demonstrate the optimality of the result,
a delicate counterexample with periodic coefficients will be constructed to
show the lower bound of loss of regularity by the application of harmonic
analysis and instability arguments.
