The Thomas-Fermi model is based on the following proposition:

every cell in the phase space of volume $h^3$ may host up to 2 electrons with opposite spin directions. (here $h$ is the Planck constant.)

But how can this be justified?

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    $\begingroup$ You have learned that this minimal cell of phase space supplants a phase-space point, in QM, as no finer granularity is meaningful, right? How do you apply the Pauli exclusion principle? $\endgroup$ – Cosmas Zachos Nov 3 '17 at 14:17
  • $\begingroup$ Thanks @CosmasZachos. I understand the part related to the Pauli exclusion principle. But maybe since I haven't studied quantum statistical mechanics, I don't exactly understand why this granularity happens and why each cell's volume equals $h^3$. However I guess that this can be related to the uncertainty principle. $\endgroup$ – apadana Nov 3 '17 at 16:42

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