Recent content by Vandmelon

so if I use \begin{equation} \hat x=\sqrt{\frac{\hbar}{2m\omega}}(a_+ + a_-) \end{equation} then if I solved it right \begin{equation} \hat x^3 \psi_0=(\frac{\hbar}{2m\omega})^{\frac{3}{2}}[(a_+)^3+a_+ + a_- + (a_-)^3]\psi_0 \end{equation} Is it correct if I use a_- on ψ_0 it will...

Homework Statement I'm looking at the 1d harmonic oscillator \begin{equation} V(x)=\frac{1}{2}kx^2 \end{equation} with eigenstates n and the time dependent perturbation \begin{equation} H'(t)=qx^3\frac{(\tau^2}{t^2+\tau^2} \end{equation} For t=-∞ the oscillator is in the groundstate...