Bloch's Theorem from Translational Symmetry

Statement

Prove that eigenstates of a periodic Hamiltonian can be chosen as a plane wave times a lattice-periodic function, labelled by a crystal momentum in the first Brillouin zone.

Depends on

Reciprocal Lattice from the Bravais Lattice, Degenerate Perturbation Theory

Used by

PU-303/L06