« · »

Physlets run in a Java-enabled browser on the latest Windows & Mac operating systems.
If Physlets do not run, click here for help on updating Java and setting Java security.

Problem 10.4: Determine the time-independent expectation values for a two-state superposition


n1 = | n2 = |

Please wait for the animation to completely load.

A particle is in a superposition state in a one-dimensional box of length L = 1. The states shown are normalized and is an equal mix of the two states n1 and n2 for the infinite square well, Yn1n2(x) = (1/2)−1/2 n1(x) + ψn2(x)].    Vary n1 and n2. The results of the integrals that give <x> and <x2> and <p> and <p2>.  You may vary n from 1 to 10.    Restart.

  1. What do you notice about the time-independent values of <x> and <x2> as you vary n1 and n2?
  2. What do you notice about the time-independent values of <p> and <p2> as you vary n1 and n2?
The OSP Network:
Open Source Physics - Tracker - EJS Modeling
Physlet Physics
Physlet Quantum Physics