Time-independent Superposition and Expectation Values: Infinite Square Well 

(Illustration)

The superposition shown is an equal mix of the two states n₁ and n₂ for the infinite square well, Y_n1n2(x)=(1/2)^-1/2 [f_n1 (x) + f_n2 (x)].    Vary n₁ and n₂ keeping n₁<n₂ to avoid duplicating states, and also avoid n₁=n₂.

Credits

Script by Mario Belloni.
Java applets by Wolfgang Christian.