Skip to main content
grasp.study
About
Explore
Pricing
Log in
Try it for free
Back to course
👋
Welcome to a Grasp lesson
Create a free account
to keep studying and create your own study path.
Foundations of Statistical Mechanics
·
Module 7
Ideal Fermi Gases
1
Fermi Energy, Momentum, and Temperature of a 3D Free Electron Gas
Define the Fermi energy, momentum, and temperature, and compute them for a non-interacting, 3D free electron gas at T=0.
2
Fermi Gas Thermodynamics
Derive integral expressions for the particle number, internal energy, and pressure of an ideal Fermi gas.
3
Degenerate Fermi Gas: Equation of State & White Dwarf Stability
Derive the T=0 equation of state for a degenerate Fermi gas and discuss its application to white dwarf stability (Chandrasekhar limit).
4
Sommerfeld Expansion and Electronic Heat Capacity
Perform the Sommerfeld expansion to derive the low-temperature electronic heat capacity of metals (C_V ∝ T).
5
Pauli Paramagnetism: Free Electron Gas Susceptibility
Explain Pauli paramagnetism by calculating the low-field magnetic susceptibility of a free electron gas.
Previous module
Quantum Statistical Mechanics Formalism
Next module
Ideal Bose Gases and Condensation