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Section 22.9 Visualization of States on a Ring
The applet below displays the real and imaginary parts of the wave function
\begin{equation*}
\psi=\sum_m \left(c_m+id_m\right)e^{im\phi}e^{-im^2t}
\end{equation*}
as well as the probability density \(|\psi|^2\text{.}\)
Activity 22.1 .
Explore how the ring state is made up out of a linear combination of basis states.
Figure 22.1. Move the sliders to visualize linear combinations of eigenstates on the ring. The figure shows plots of the real and imaginary parts of the wave function \(\textrm{Re}\psi\text{,}\) \(\textrm{Im}\psi\text{,}\) and the probablity density \(|\psi|^2\text{.}\) Click on the button for an animation that demonstrates the time dependence.