A numerical solution of the time-dependent Schroedinger equation in one dimension for a particle confined to a region 0 £ x £ L with a potential step at x=L/2.

Reference: S. E. Koonin, Computational Physics, Addison-Wesley Publishing Company Inc, (1986).

The program n2.txt is a simple program written in QuickBasic.  It demonstrates a method for solving the time-dependent Schroedinger equation in one dimension.  The evolution of the wave packet is represented graphically.  The wave packet is observed to spread with time.  You are encouraged to modify the program, add a user interface or translate it to another programming language.

For an explanation of the program see Program 1.