The Quantum “Finite Step” problem

The Probability Wave: The Wave Function: This is an animation of the Finite Step problem, as described in a typical undergraduate quantum mechanics textbook. The top animation shows the evolution of the probability density function. The bottom animation shows the full wave function . The real part is blue and the imaginary part is red. … Read more

The Twins

This is an animation of the relativistic “twins” scenario. One twin stays on Earth. The other travels away at a high rate of velocity and then comes back. Typically when you see this situation analysed in a textbook, they have the travelling twin doing something like going out at half the speed of light then … Read more

Liouville’s Theorem

The idea of this animation is to give an example of Liouville’s theorem in phase space. I’m using a Hamiltonian suggested by Josh in the Portland Math and Science Group: Leading to the update equations: This Hamiltonian is not intended to represent any actual physical system. I’m using it simply because it exhibits an “interesting” … Read more