(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to find the momentum space wavefuntion Phi(p,t) for a particle in the first excited state of the harmonic oscillator using a raising operator.

2. Relevant equations

Phi_1(p,t)= "raising operator" * Phi_0 (p,t)

3. The attempt at a solution

In position space, psi_1 (x) = a+psi_0(x), where a+=1/sqrt(2pi*omega*h-bar)*(-ip+mwx)

but in position space, x is replaced with i*h-bar*d/dp, and the operator for p is just p.

I tried inserting the new position operator in a+, but what I get is, what looks like a good solution, multiplied by -i.

I'm not sure if wave functions can have a factor of i out front (i think the can, please correct me)

I really just need help formulating this ladder operator in p-space, I can take care of the rest

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# Homework Help: Ladder operater for momentum space wavefunction (harmonic oscillator)

Can you offer guidance or do you also need help?

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