Solving the Schrodinger Equation of an Electron in a Periodic Crystal Potential through Elliptic Functions
Abstract
In this study, the Schrodinger equation of a valence electron in a periodic crystal potential is formulated and solved using the elliptic function formalism. The method allows double periodic lattice planes to be represented in the Gauss plane. The reality of the obtained eigenfunctions and the structure of the valence and conduction bands are also investigated.
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