MPEG Quantum Mechanics Movies
In all of the movies, I use atomic units. 1 atomic unit of energy is 27.21 eV, 1 atomic unit of length is the Bohr radius 5.292E-9 cm, and one atomic unit of mass is the rest mass of an electron. In these units, hbar=1 and c (the speed of light) is 137.036.
Simple Quantum Mechanics Wave
However, there are very good reasons to study the time dependent aspects of quantum mechanics. Visualization tools have now become powerful enough to routinely examine various cases. Also, our intuition mostly relates to the time dependent behavior of classical systems; quantum wave packets moving around in space is reminiscent of the motion of classical particles and can serve as a bridge between classical and quantum intuition. Finally, experiments in atomic, molecular and chemical physics are now available where the quantum system can be excited into a time dependent wave packet and the properties of the packet can also be probed.
All of the movies are for motion in one dimension. Unless specifically stated otherwise, the movies are of the temporal behavior of the probability density as a function of position. The normalization of the wave functions have been chosen for convenience of plotting and thus are not normalized so that the integral of the probability density equals 1.
Free particle colliding with an infinitely hard wall
Particle moving in a constant force field
Wave packet for a harmonic potential
Scattering from a DOWN stepping potential
Scattering from a potential barrier of finite height and width
Scattering from a potential with a sinusoidal modulation
The theory behind the numerical propagation of Shrodinger's equation that was used to obtain the time dependent wave function is given here. This also contains links to the fortran program and data file for calculating the time dependent wave function.
Atomic Physics Movies
Visualizing the energy dependent properties of a Feshbach resonance
Radial wave packets for l=0: Hydrogen and Lithium
Autoionizing Rydberg wave packet