# Energy Spectrum of anyon in the Coulomb field

## TL;DR

This paper investigates the energy spectrum of anyons, which are relativistic particles with anomalous statistics in 2+1 dimensions, focusing on their unique properties in the Coulomb field.

## Contribution

It provides a novel analysis of the energy spectrum of anyons in a Coulomb potential, highlighting their distinctive quantum behavior in two-dimensional space.

## Key findings

- Identification of unique energy levels for anyons in Coulomb field
- Demonstration of anomalous statistical effects on energy spectrum
- Insights into relativistic properties of anyons in 2+1 dimensions

## Abstract

One of the interesting fundamental phenomenon which was observed in the last decades is the discovery of anyons, relativistic spinning particles in $2+1$ dimensions. In contrast to three-dimensional space, indistinguishable quantum particles in two-dimensional space can, in general, have anomalous statistics [1-4]. These quasiparticles carry not only a charge $q$ also the magnetic flux $\Phi_0$.