# Periodic almost-Schrödinger equation for quasicrystals

## TL;DR

This paper introduces a new method to calculate electron behavior in quasicrystals using a modified Schrödinger equation in higher-dimensional spaces.

## Contribution

The novel approach enables exact electronic structure calculations for quasicrystals without relying on non-exact methods.

## Key findings

- A modified Schrödinger equation is used in higher-dimensional spaces to model quasiperiodic potentials.
- The method provides exact results for electronic structures of quasicrystals.
- This approach avoids expensive and non-exact computational techniques.

## Abstract

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