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

Excel2.xlsm is a macro enabled Excel spreadsheet
that you can download.
It demonstrates a method for solving the time-dependent Schroedinger equation in one
dimension. The evolution of the wave packet is represented graphically.
(The initial wave packet is Gaussian.) You are encouraged to modify the program,
change the a user
interface or translate it to another programming language.

Wavepacket2.m is a MATLAB script implementing the
same method.

For an explanation of the program see Program 1.