Many-particle Systems, 6

Authors

David Peak, Utah State UniverstiyFollow

Document Type

Course

Journal/Book Title/Conference

Physics 3710 – Introductory Modern Physics

Publication Date

8-28-2017

First Page

1

Last Page

4

Abstract

Fermion gas at low temperature

At low temperature the identical, noninteracting fermion average occupation number is Nσ = 1 / exp[(ε_σ − ε_F)/k_BT]−1.

The Fermi energy ε_F is one of the most important quantities in solid-state physics. To calculate it, assume there are N identical fermions in a cubical box (3D infinite well). As for the photon gas a single-particle quantum state consists of 3 quantum numbers n_x,n_y,n_z that take values 1, 2, 3, … . Suppose that the fermions (such as electrons) have spin states ±1/2.

Recommended Citation

Peak, David, "Many-particle Systems, 6" (2017). Many Particles. Paper 6.
https://digitalcommons.usu.edu/intro_modernphysics_particles/6