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Movies of Quantum Mechanical Phenomena

Here you can download several movies showing quantum mechanical wave functions. The movies are available as QuickTime or MPEG. Note: The QuickTime movies use the Animation compressor with best quality and are therefore much larger than the corresponding mpeg movies. 
Do you know that the QuickTime Plugin lets you view QuickTime movies directly in the browser window of Netscape Navigator 3.0? Download the QuickTimeplugin (MacOS, Windows 3.1, Windows 95)  
Wave functions are complexvalued functions. The absolute value containes information on the localization of the particle, the phase gives additional information about the dynamical state. We use a color code to visualize complex numbers. This color mapping of the complex plane is described in the illustration to the right. It is a stereographic projection of the surface of the three dimensional color manifold onto the compactified complex plane. 

Movies showing solutions of the Schrödinger equation in one dimension:  
Repulsive Square Well Potential QuickTime (755K), MPEG (435K) Movie showing the onedimensional motion of a gaussian wave packet hitting a repulsive square well potential. The size of the potential is equal to the average kinetic energy of the particle. 


Reflectionless Potential QuickTime (1500K), MPEG (747K) Gaussian wave packet meets a reflectionless potential (soliton of the Korteweg deVries equation in one dimension). 


Resonance Scattering QuickTime (952K), MPEG (551K) Resonant scattering state in one dimension. The particle remains in the interaction region much longer than can be expected from classical considerations. Both at higher and at lower energies only a much smaller amount of the wavepacket can enter the region between the wall and the obstacle. 


Harmonic Oscillator in 1D QuickTime (1340K), MPEG (774K) Squeezed state of a harmonic oscillator. The initial state is a Gaussian wave packet. The behaviour is quite similar to the classical motion. 


Solutions of the Schrödinger equation in two dimensions:  
Double Slit QuickTime (2755K), MPEG (842K) The movie shows the famous doubleslit experiment with a Gaussian initial state. 


Attractive Gaussian Potential QuickTime (2828K), MPEG (737K) Particle being scattered at the potential Exp[x^2] (smooth, attractive potential well) in two dimensions. The particle hits the interaction region with a nonzero impact parameter. 


The movies were generated with the help of Mathematica. Numerical calculations were performed with the InterCall package.
All this is part of a larger project: 
Here you can download the Mathematica packages used for the visualizations in one and two dimensions. These are in a sort of beta state and far from being perfect or highly optimized: ArgColorPlot.m ComplexPlot.m 
Here you can see some examples of visualizations generated with the software package AVS ("Application Visualization System" by Advanced Visual Systems Inc.). These visualizations were made in collaboration with Jutta Pauschenwein. 
Mail to: Bernd Thaller, last change:07031997