Thanks again for your reply!
I guess it is pretty straightforward now to make the analogy with the harmonic oscillator. I have a force F = -N m \omega^2 a which is linear in the displacement from the equilibrium. Since m is the mass of one particle in the condensate, and N is the total...
Thank you for your reply! Now I know at least that I'm on the right trail. There is one more thing that I was thinking about today that confuses me, though.
For the harmonic oscillator, the restoring force is lineair in the position x of the oscillator. Because this position is a continuously...
I just realized I made a small mistake in my second question. The linear force expressions suggests that every particle undergoes a harmonic oscillation with frecuency ω, not √2 ω. I still don't know if my overall method is correct, though.
Homework Statement
We were asked to try to make a theoretical description of the following phenomenon:
Imagine a 2D Bose Einstein condensate in equilibrium in an harmonical trap with frequency ω. Suddenly the trap is shifted over a distance a along the x-axis. The condensate is no longer...