Wannier function

The Wannier functions are a complete set of orthogonal functions used in solid-state physics. They were introduced by Gregory Wannier.

The Wannier functions for different lattice sites in a crystal are orthogonal, allowing a convenient basis for the expansion of electron states in certain regimes. Although it is unproven that the Wannier functions are, in general, localized they have found widespread use, for example, in the analysis of binding forces acting on electrons. Specifically, these functions are also used in the analysis of excitons.


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