Background: Without the general tools for solving the Time
Dependent Schrödinger Equation (TDSE) which we will learn in the
coming lectures, direct solutions to the TDSE are difficult but not
impossible to find. In this problem, you will consider one such
solution, the ``Coherent States'' of a Simple Harmonic Oscillator
(SHO) of frequency 
. We will use the solution to this problem
to illustrate the general principles of the Correspondence Principle
and the Conservation of Probability discussed in lecture.
Consider a
particle of mass m in a one-dimension simple Harmonic oscillator of
frequency 
. The Hamiltonian for this system is then given by
We begin with trial solutions of the form
Assignment:
