Analyze Bose-Einstein condensation in a cubical box with edge lengths L [i.e., for a potential V (x, y, z) that is zero inside the box and infinite outside it]. In particular, using the analog of the text’s simplest approximation, show that the critical temperature at which condensation begins is

and the number of atoms in the ground-state condensate, when T c⁰ , is

Transcribed Image Text:

Tº C 1 2πħ N 1/37 = Bramka [27" (c(0/2)"] 8лmk L (4.56a)