Estimating the energy of the ground state of a harmonic oscillator from the

[btbam91]

uncertainty relation.




I think I'm on the right track.

Currently, I'm at,

E = (1/2m)*<p^2> + (1/2)*k*<x^2>

and when applying the uncertainty relation,

deltax = <x^2>^(1/2)

deltap = <p^2>^(1/2)

How do I go about connecting everything from here?

Thanks!

 

[vela]

You want to use the fact that the oscillator is in the ground state. Looking at the ground state wave function, can you get at estimate for either uncertainty?