The Klein-Gordon Equation for the Coulomb Potential in Non-commutative Space

TL;DR

This paper investigates how non-commutative space affects the Klein-Gordon equation with Coulomb potential, revealing energy shifts and degeneracy breaking through perturbation theory.

Contribution

It introduces a novel analysis of the Klein-Gordon equation in non-commutative space, highlighting energy shifts and degeneracy breaking not previously explored.

Findings

Energy shift due to non-commutativity quantified

Degeneracy of spectral lines is broken in non-commutative space

Perturbation theory effectively applied to this problem

Abstract

In this paper the stationary Klein-Gordon equation is considered for the Coulomb potential in non-commutative space. The energy shift due to noncommutativeity is obtained via the perturbation theory. Furthermore, we show that the degeneracy of the initial spectral line is broken in transition from commutative space to non-commutative space.