Shown is the time-dependent wave function for a particle in an infinite square well of length a=2. The wave function evolves with time according to the TDSE. You may change the state by choosing an n.
It is the time it takes for the wave function to "revive". In other words, it is the time for the wave function to undergo a phase change of 2p. Specifically, this time is the inverse frequency of the time-dependent infinite square well ground state.
t=0=blue=real and positive.
t=0.25=light green=imaginary and negative.
t=0.5=goldish=real and negative.
t=0.75=magenta=imaginary and positive.
t=1=blue=real and positive.
Note that the time-evolution of the wave function is governed by exp(-iEnt / hbar). As a consequence, the rotation in the complex plane is clockwise rather than counterclockwise.
Jar files: DataGraph4_.jar, Filters4_.jar, STools4.jar
Script by Mario Belloni.
Questions by Mario Belloni.
Java applets by Wolfgang Christian.