Chapter 3: The Gaussian Wavepacket

In this chapter, we will look at the motion of Gaussian wavepackets of the form The Actual Formul and its generalizations. If the potential energy function, V(x), is no higher than quadratic, an initial Gaussian wavefunction Formul will stay Gaussian Formul for all times. Gaussian wavepackets are useful not only for potentials up to quadratic, but also as the basis for approximations for anharmonic potentials.