# Classical Wavepacket Solution to Schrodinger's Equation

## Christopher Palmer and James Paulin

Department of Physics

University
of Oxford

## Using The Applet

The user can re-set four parameters by left-clicking in
the four control panel windows,

deleting the current value and typing in the
new value.

After changing any parameter, left-click on Redraw button.

Parameter |
Default |
Range |

Time |
*t* |
0.0 |
*-n*_{0} to *n*_{0} |

Mean Quantum no. |
*n*_{0} |
108 |
*dn*+1 to 300 |

Quantum no. Range |
*dn* |
10 |
1 to 25 |

Phase |
90. |
-180. to 180. |

(Apart from the restriction
*n*_{0} > dn the range restrictions are elastic: the

accuracy
may degrade, or in the case of large *dn* the applet may become very
slow.)

The Increment T button increases the time by 1/64 units and redraws.

The Default plot is *|Psi(x,t)|*^{2}, the probability
distribution as a function of *x*, at the current time
*t*.

Left-click on the Plot button to obtain a menu of other diagnostic
plots.

The text panel displays diagnostic data at the current time for *Psi*
and *|Psi(x,t)|*^{2} plots

and descriptive text for other plots.