#### Superposition of two stationary state

Let us now consider the linear superposition of the two previous stationnary: states.
y(x,t) = C_{1}(t) j
_{2}(x) + C_{2}(t) j_{2}(x)
By manually changing C_{1} and C_{2} you can observe that when the two
coefficient are in phase, the eigenfunctions interfere constructively on the left side
while they interfere destructively on the right side, because j
_{1}(x)+j_{2}(x) takes greater values on the
left side. The particle has a greater probability to be detected on the left side.
In contrast, when C_{1} and C_{2} are in opposition, the
eigenfunctions interfere destructively on the left and constructively on the right,
because j_{1}(x)-j_{2}(x)
takes greater values on the right. The particle has a greater probability to be
detected on the right side.

By starting the animation, you can observe that
C_{1}(t) and C_{2}(t) are alternatively in phase and in opposition,
which result in an oscillation of the average position at frequency
w_{21}=w_{2}
-w_{1}. **The linear superposition of two stationary
states of different energies is no longer a stationary state**.