Abstract
We investiage the properties of simple spin chains, the fermi contact hyperfi ne interaction and the comparative strength of external magnetic fields using a program built from theory. We fi nd that there is an oscillation of probabilities of states due to spin interactions, which is found in both the spin chain and hyperfi ne model. When the magnetic field is introduced it is found that a probability density shift occurs. The timescale of interaction is verifi ed as being related to the interaction constant for both hyper fine interaction and magnetic fields.