Electron Gas and Crystal Lattice

This lecture covers the behavior of non-interacting electrons in an electron gas, following the Pauli exclusion principle and filling energy levels. It also delves into the periodic arrangement of atoms in crystalline solids, discussing lattice vectors, reciprocal lattice, and Bloch's theorem. The lecture further explores the density of states in 1D, 2D, and 3D systems, including the quantum well, quantum wire, and quantum dot. It concludes with insights into energy bands, excitons, and the density of states in different dimensions.