Solid State Physics · undergrad

Bloch Theorem

Atomic section generated from Complete Solid State Physics.

Published Apr 26, 2026 · 1 min

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For a periodic potential $V(\mathbf r+\mathbf R)=V(\mathbf r)$ , one-particle eigenstates can be written

\psi_{n\mathbf k}(\mathbf r)=e^{i\mathbf k\cdot\mathbf r}u_{n\mathbf k}(\mathbf r),

where $u_{n\mathbf k}$ has the periodicity of the lattice.

Atomic section generated from Complete Solid State Physics.

Atomic section generated from Complete Solid State Physics.

A structured path from crystal symmetry to bands, Fermi surfaces, and phonons.