- Practice time evolution
- To calculate quantum probabilities in Dirac and Wavefunction notation
- To visualize how wave wavefunctions depend on time after time evolution
- To notice that not all probabilities of operators will depend on time
Consider a quantum particle on a ring. At \(t=0\), the particle is in state: \begin{equation*} \left|{\Phi(t=0)}\right\rangle =\frac{7i}{10}\left|{-2}\right\rangle -\frac{1}{2}\left|{-1}\right\rangle +\frac{1}{2}\left|{0}\right\rangle -\frac{1}{10}\left|{2}\right\rangle \end{equation*}