Chapter 3: The Gaussian Wavepacket

Forced Harmonic Oscillator. Consider the forced harmonic oscillator, i.e. The wavepacket given by is a solution to this problem. Substituting this form into the Time Dependent Schrödingcr Equation one obtains expressions for A convenient way of solving the differential equations for is to define a complex quantity Then
Calculate analytic expressions for z(t) for:

• i. F(t) = Asin(wt)
• ii. F(t) = A
• iii. F(t) = At

and compare with the numerical z(t) generated by the program.