This JAVA^TM applet integrates the Schrödinger wave equation.

The wave funcition Psi(x,t) is initially a guassian wave packet moving to the right.

The probability density p(x,t) = |Psi(x,t)|^2 is shown in black.

The real and imaginary parts of Psi(x,t) are shown in blue and green.

The potential energy function v(x) is shown in red.

Notes:

• The boundary conditions are periodic, so that waves which exit to the right will return on the left.
• The algorithm for integrating the Schrödinger wave equation is from: Richardson, John L., Visualizing quantum scattering on the CM-2 supercomputer, Computer Physics Communications 63 (1991) pp 84-94