How Can Degenerate Fermi Gases Illuminate Quantum Statistics?

[PRodQuanta]

I'm a senior undergrad student and I am going to give a 50 minute lecture on Degenerate Fermi Gases to the Thermodynamics and Statistical Mechanics class. I was wondering if anybody could help me out with coming up with some interesting stories, factoids, thought experiments, history lessons, etc... on the subject of degenerate fermi gases. This topic includes: fermi energy and temperature, degeneracy pressure, bulk modulus, density of states, and the Sommerfeld expansion. More explicitly, if you have Daniel Schroeder's Thermal Physics, I'm covering section 7.3.

I have a basic outline of what I want to cover, including some problems to work in class, but I would like to spice it up with some quips if possible.

Thanks,
PRodQuanta

 

[azntoon]

1. Start by discussing the history of Fermi gases: Enrico Fermi and the Fermi-Dirac statistics, how they were used to explain the behavior of electrons in solids, and how this led to the development of the theory of degenerate Fermi gases. 2. Talk about the concept of Fermi energy and temperature, what it means, and how it relates to the properties of a degenerate Fermi gas. 3. Introduce the concept of degeneracy pressure and its importance in understanding the behavior of a degenerate Fermi gas. 4. Discuss the bulk modulus of a degenerate Fermi gas and how it relates to the density of states. 5. Finish up with the Sommerfeld expansion and its use in calculating the thermodynamic properties of a degenerate Fermi gas. 6. Include some thought experiments or stories that illustrate the concepts you have discussed, such as how a degenerate Fermi gas is analogous to a collection of non-interacting particles in a box and how this leads to the concept of the Fermi energy. Additionally, you can use examples from nature, such as white dwarf stars, to demonstrate the effects of degeneracy pressure. 7. Finally, you can include some interesting facts or tidbits of information that are related to the topic, such as how the Fermi-Dirac statistics can be used to explain the Pauli exclusion principle.