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I'm studying on the current transfer at quantum level and I have a point that is not so much clear. While reading the Fermi sphere from the book "Current at the nanoscale", I could not understand the expression:

The number of electrons in the conductor, N, is the ratio of the total volume of the Fermi sphere to the volume per state

Is this sentence right, and what is its meaning? For clarity, I attached the page of the book where the author derives Fermi energy in terms of number of electrons and the volume of the conductor.

Thanks for all,

Regards

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# Fermi sphere

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