Problem 1

Time evolution before and after measurement

An arbitrary wavefunction is confined in an infinite square well of width L. Some time later a measurement is made of the particle’s position. Assume that the uncertainty on this position measurement is Gaussian in form with a standard deviation of L/10.

  1. Produce an animation showing the time evolution of this wavefunction before and after the position measurement.

Note

You can use the following packages to produce an animation which you can playback in the Python notebook:

from IPython.display import HTML from matplotlib import animation

When produce your animation use the following commands to display in the notebook:

anim = animation.FuncAnimation(fig, animate, init_func=init, frames=nframes) HTML(anim.to_jshtml())

Quantum Mechanics Problem 1 - Answers