1. A&M: problem 19.1 a-d.
2. Calculate energy of classical dipole-dipole interaction.
Lecture 2, 24 January, 10.00-12.00, FL51
Failure of the classical electron theory.
Fermi gas of free electrons. Degeneracy temperature, Fermi energy,
Fermi momentum.
Fermi distribution. Thermodynamics of free electrons.
Reading
A&M: Chapter 1 (pp. 6-11, 20-25), 2
L&L: Par. 53, 57-60
Review questions
1. What is the ground state of electron gas?
2. What is the Fermi energy? Fermi momentum? Express these quantities
through electron density.
3. Derive equation for density of states of 3D (2D, 1D) electrons.
4. Calculate total energy, pressure of the Fermi gas at T=0.
5. Derive Fermi distribution. What is chemical potential? What is the
low-temperature limit for electron gas? Give an estimate for corresponding
temperature for typical metals.
6. Calculate energy of electron gas at low temperature. What is the idea behind
Sommerfeld expansion?
7. Calculate specific heat of the Fermi electrons. Explain the concept of
"effective" electrons.