Problem[edit | edit source]

(a)Find the Bose-Einstein condensation temperature for a large number, , of non-interacting atoms of mass confined to a volume . Assume the atoms have spin 0, or have integer spin but the spin degeneracy is lifted by an applied magnetic field. A derivation of the full result is required (8 points), but you can get partial credit by just answering such questions as: What is the momentum of an atom in the condensate? What is the value of the chemical potential for  What can be said about the value of by dimensional analysis alone?

(b)How can one create, in practice, such a BE condensate? (1 point)

(c)Estimate the number density necessary to obtain microKelvin if the atoms are (1 point).


Useful integral:

Solution[edit | edit source]

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