Periodic almost-Schrodinger equation for quasicrystals

Abstract

A new method for finding electronic structure and wavefunctions of electrons in quasiperiodic potential is introduced. To obtain results it uses slightly modified Schrodinger equation in spaces of dimensionality higher than physical space. It enables to get exact results for quasicrystals without expensive non-exact calculations. New method tested on one-dimensional quasiperiodic screened Coulomb potential.