I'm stuck with derivation of critical temperature and thermal wavelength for Bose-Einstein condensate - all sources describe equations very briefly. Suppose we have a system described by Bose-Einstein statistics - its de Broglie wavelength, taken from mean energy, will be:
and, according to this, critical wavelength will be:
I've got equations from this source, but I still can't find even the handbook which would give fair enough derivation of de Broglie thermal wavelength, not to mention derivation of critical temperature. It would be great, if somebody here would give a proper answer.