IGNOU PHE 6 2018 - Define Fermi energy. Show that the expression of Fermi-energy is given

Question

Define Fermi energy. Show that the expression of Fermi-energy is given by

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How it is related with Fermi-temperature.

27 Jan 2018

Answer :

Word Count : 297

The Fermi energy is a concept in quantum mechanics usually referring to the energy difference between the highest and lowest occupied single-particle states in a quantum system of non-interacting fermions at absolute zero temperature. In a Fermi gas, the lowest occupied state is taken to have zero kinetic energy, whereas in a metal, the lowest occupied state is typically taken to mean the bottom of the conduction band.

The Fermi temperature

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