Fermi impulse

The Fermi momentum is the momentum that corresponds to the Fermi energy : ${\displaystyle p_{\text{F}}}$ ${\displaystyle E_{\text{F}}}$

${\displaystyle p_{\text{F}}=\hbar k_{\text{F}}={\sqrt {2mE_{F}}}}$

with . ${\displaystyle k_{\text{F}}^{2}={\frac {2mE_{F}}{\hbar ^{2}}}\Leftrightarrow k_{\text{F}}={\frac {\sqrt {2mE_{F}}}{\hbar }}}$

In the case of K , the maximum momentum of the most energetic electron is in a solid. In the momentum space one can define the Fermi sphere , which has the radius and thus contains all existing electron pulses. ${\displaystyle T=0}$ ${\displaystyle p_{\text{F}}}$ ${\displaystyle p_{\text{F}}}$

literature

• Neil W. Ashcroft, N. David Mermin: Solid State Physics . 2nd Edition. Oldenbourg, Munich 2005, ISBN 3-486-57720-4 .