It's a good try to connect it to the two-slit experiment but it doesn't work for several reasons: double-slit is about a particle passing through two holes at the same time and the waves go in the direction of the motion instead of perpendicular to it.

You get a good consolation prize though, because it is a little like quantum tunneling which is in the same neighborhood as the double-slit experiment: http://en.wikipedia.org/wiki/Quantum_tunneling

In the tunneling case what's "waving" would again be (I believe) the probability density function, but it's definitely a case of a particle using some sort of waviness to pass through a classically impossible boundary.