(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).