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THE GEOMETRY OF MATHEMATICAL METHODS

Section 22.1 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. States on a ring.