Tagged Questions
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0answers
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What is the condition for getting Bose-Einstein condensation? [closed]
Consider an ideal Bose gas in three dimension with energy-momentum relation E proportional to $p^s$ with $s>0$. Find the range of $s$ for which this system may undergo a Bose-Einstein ...
2
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1answer
163 views
True Ground State Population of Ideal Bose-Einstein Condensate at Critical Temperature
I'm supposed to demonstrate that although we make the assumption in an ideal BEC that the ground state population follows
$N_0 = N\left[1-\left(\frac{T}{T_c}\right)^{3/2}\right]$
in reality the true ...
3
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0answers
115 views
Matter-wave interference from free falling cold atoms
and another exam question, this is about current research:
Interference of matter waves has been studied using ultra-cold atoms. The phase of a matter wave for free-falling cold-atoms at time $t$ ...
3
votes
0answers
452 views
How do I derive the critical temperature for bose condensation in two dimensions?
In class we derived the 3D case, but there's a step I don't understand:
$$ N = g \cdot {V \over (2 \pi \hbar)^3} \cdot \int\limits_{0}^{\infty}{1 \over{e^{\left( E_p \over{K_B T}\right)}-1}} d^3 p = ...
