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With the distribution of energies, do we care about the distinction between bosons and fermions in the case of distinguishable particles?

bosons Case distinguishable distribution energies fermions particles
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With the distribution of energies, do we care about the distinction between bosons and fermions in the case of distinguishable particles?

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No, if the particles are distinguishable, you don’t care if they are fermions or bosons. The distinction between fermions and bosons only comes in when indistinguishability matters.

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