2.P: Exercises
 Demonstrate that
 Verify that
 Consider a Gaussian wavepacket whose corresponding wavefunction is

 Suppose that we displace a onedimensional quantum mechanical system a distance along the axis. The corresponding displacement operator is
Let , and let denote an eigenket of the operator belonging to the eigenvalue . Demonstrate that
Contributors
 Richard Fitzpatrick (Professor of Physics, The University of Texas at Austin)