Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
An overview of Fermi-Dirac and Bose-Einstein distributions in the context of quantum gas. It discusses the relation between these distributions and the Boltzmann distribution, the application of Fermi-Dirac distribution in modelling conduction electrons in metals, and the concept of degenerate Fermi gas. The document also includes formulas for calculating occupancy using Boltzmann distribution and wavefunctions for free electrons in a metal block.
Typology: Study notes
1 / 6
This page cannot be seen from the preview
Don't miss anything!
condition is not met: N >>^1 Z For cases when Fermi-Dirac Distribution (fermions) • Bose-Einstein Distribution (bosons) •
kT )/ μ ε −(
kT μ)/ε −(
μ and ε Consider cases looking at •
kT )/ μ ε −(
μ and ε Consider cases looking at •
Modelling behavior of conduction electrons in metal •
=0, Fermi-Dirac distribution becomes step function T At • =0) T (μ≡^ F ε – are occupied and those above^ F ε When nearly all states below • are empty
Electrons in the system are free particles •
