Discuss the below:
Q: A particle in the harmonic oscillator potential starts out in the state
φ(x,0)=A[3φo(x)+4φ1(x)]
a. find A
b. Construct φ(x,t)and |(φx,t)|2
c. Find and Dont get too excited if they oscillate at the classical frequency;What would it have been had i specified φ2(x), instead of φ1(x)?Check that Ehrenfests theorem hold for this wave function.
d. If you measured the energy of this particle,what values might you get, and with what probabilities?