Continuity equation equalling a complex number

[Darkmisc]

What does it mean if the continuity equation equals a complex number (rather than zero)?

I ask this in the context of the probability current.

 

[Steger]

That your charge is not conserved and that your current density is complex (because hopefully your charge density isn't). Without context there's not much more to say. However, my first guess would be that you're trying to do something very exotic or you did something wrong.