Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I'm going through my problem sheet for my quantum mechanics course, and I've come across something I don't know what it means;

It says that a Bose-Einstein condensate can be described by the wave function:

http://xgkkp.no-ip.com/images/math/PsiCondensate.jpg [Broken]

Psi(x,t) = sqrt( n(x,t) ) * exp ( i*alpha(x,t) )

It then asks me to find the probability density, which I have (assuming it is equal to the (Sigma = |Psi|^2 = Psi.Psi*), and it came out as:

http://xgkkp.no-ip.com/images/math/sigma.jpg [Broken]

Sigma = n(x,t)

(I can only assume I am correct with this)

The next part has me stumped - it asks me to "Calculate the probability density as a function of n(x,t) and alpha(x,t), and their derivatives".

What does it mean? Does it mean to re-arrange the wave equation so that the functions n(x,t) and a(x,t) are the subject then calculate the probbability density for them? (and the derivative) or does it mean something else entirely?

Thanks,

Nick

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# Confusion with Qm question

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