What does it mean to take finite harmonic oscillator, In research article "http://iopscience.iop.org/article/10.1088/1367-2630/17/11/113015 ",
we were finding effective number of cobosons in ground state $\langle N_0\rangle $ of multilevel system (harmonic trap) .There they used approximation that $\langle N_0 \rangle = \langle N_0 \rangle _{f} - (T/T_0)^3 N S $.Where $\langle N_0 \rangle_f $ is number of cobosons in ground state for finite harmonic oscillator.
I donnot understand how did they approximate it.
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