Discussion:
Q: Consider a simple harmonic oscillator with an angular frequency w. Suppose at t=0 it is in a state given by:
|φ>=N(2|2>+3> +2|4>)
a. Find the normalization constant N
b. What are the possible outcomes of an energy measurement? What are the probabilities associated with each of these outcomes?
c. How does this state evolve in time? In other words find v,t>
d. Find < x > (t) and
(t), i.e. find how the average position and momentum changes as a function of time.