This is a time-independent potential with a Gaussian wave packet initially in the left pit. Over time, parts of the wave packet populate the other well to the right. Parts of the wave packet start an oscillation across the entire double-well.
Double-well potential with a wave packet initially confined to the left pit. The fact that there is a non-zero chance to find the particle to the right is due to tunneling through the central barrier. It is also due to the fact that the Gaussian wave packet does possesses high-momentum components with an energy E>0 that can just cross the central barrier "classically".
Further question: Can we understand the formation of almost standing wave in the right pit?
