Recent content by Dean Navels

Just realized I have missed a little bit out, γ is a complex parameter and a_ψγ(x) = γψγ(x) That's 100% all the information I have now

i haven't got that information, ψγ represents coherent states.

I've edited it accordingly

Homework Statement Show the mean position and momentum of a particle in a QHO in the state ψγ to be: <x> = sqrt(2ħ/mω) Re(γ) <p> = sqrt (2ħmω) Im(γ) Homework Equations ##\psi_{\gamma} (x) = Dexp((-\frac{mw(x-<x>)^2}{2\hbar})+\frac{i<p>(x-<x>)}{ħ})##The Attempt at a Solution I put ψγ into...

Thank you very much, sir!

When integrating terms including the imaginary unit i and operators like position and momentum, do you simply treat these as constants?

Would I be correct in saying ∑(n-1)^½ Cn-1 Ψn(x)

I don't understand how to involve alpha. Thanks so much for all your help by the way.

After doing extensive reading on and around it, I know how to find the formula for different energies corresponding to different eigenfunctions, but now I need to put Φα(x) in the form of a normalisation constant C multiplied by an exponential.

Is this required to solve it via ladder operators?

I've read a lot of them, what I don't understand is that when you apply a lowering or raising operator Φα becomes Φα+1 or Φα-1 yet here it doesn't change.

How do you find the wave function Φα when given the Hamiltonian, and the equation: aΦα(x) = αΦα(x) Where I know the operator a = 1/21/2((x/(ħ/mω)1/2) + i(p/(mħω)1/2)) And the Hamiltonian, (p2/2m) + (mω2x2)/2 And α is a complex parameter. I obviously don't want someone to do this question...