The energy of a linear harmonic oscillator is
E= p²ₓ/2m + Cx²/2
a. Show, using the uncertainty relation, that this can be written as
E= h²/32π²mx² +Cx²/2
b. Then show that the minimum energy of the oscillator is hv/2 where
v= (1/2π)√C/m
is the oscillatory frequency.
