The program presented in the article Numerical Solution of the Time-Dependent Schrödinger Equation calculates the motion of an α-particle (helium nucleus) in a one-dimensional potential by solving the time-dependent Schrödinger equation numerically. The output data are updated with the movement and presented in two diagrams. The upper diagram shows the wave packet (probability density of the wave function) and the lower diagram shows the potential shape and the position expectation value of the α-particle.
The following units are used in the diagrams: fm for distance and position (1 fm = 10-15 m), MeV for energy and potential (1 MeV ≈ 1.6×10-13 Joule), and bsec for the time (1 bsec = 10-21 sec).
Program packages for different operating systems are available for download:
MS DOS: qm-dos.exe
MS Windows: qm-win.exe
Linux x86 (Console): cde-qm.tar.gz
Linux x86 (X Window): cde-qm.tar.gz
Linux x86 (X Window incl. library): cde-qm.tar.gz
How to deal with the Linux CDE packages:
unzip the package cde-qm.tar.gz by the following command:
tar -zxvf cde-qm.tar.gz
then run the program by this command: