Page 7 - Physlets and Open Source Physics for Quantum Mechanics:

o QMSuperpositionExpectationPApp: adds a view of the expectation
value of p
o QMSuperpositionCarpetApp: adds a view of the position-space
quantum carpet
o QMSuperpositionMomentumCarpetApp: adds a view of the p-space
quantum carpet
o QMSuperpositionFFTApp: adds a view of the momentum-space wave
function

The use of analytic solutions for each eigenstate allows the simulation to run for a long
period of time and yet never accumulate numerical error since the wave function is
calculated anew at each time step. In addition, within the OSP control, we can set the
energy scale, which determines the time scale for the animation. For example, setting
the energy scale to 2/π forces T rev = 1, which is a convenient time scale for the study of
revivals and fractional revivals which occur at T rev and fractions of T rev, respectively.

The applications described here can be organized using Launcher. Once Launcher is
opened, the user can double click on a node to run a program with the initial conditions
stored in the associated XML file.

Figure 7: A Launcher window for a collection of quantum-
mechanical revival simulations (on the left) based on the program
QMSuperpositionCarpetApp. Selecting a given title for an
animation by double-clicking opens the control window and loads
XML properties for controlling the program (on the right). Once
this control is open, one can edit animation parameters, read other
XML files, or save a new set of parameters in an XML file.