Fermi Golden Rule Simulator

This simulates a discrete level embeded in a (quasi) continuum:

beforpil.gif

This is TDSE:

tdse.gif

And this is the expansion of the wavefunction:

expand.gif

The Hamiltonian of the model is shown here:

intertx.gif

Before the decay starts, the situation is:

befortal.gif

During the decay:

during.gif

the thick lines represent the occupation probabilities, obtained by the integration of the Time-Dependent Schroedinger Equation

And this is our representation in the program:

transtxt.gif

In fact, it looks more like this:

goldtime.gif