Scalar bosons under the influence of noninertial effects in the cosmic string spacetime

L C N Santos,C C Barros

doi:10.1140/epjc/s10052-017-4732-x

Abstract

In this paper we present two different classes of solutions for the Klein–Gordon equation in the presence of a scalar potential under the influence of noninertial effects in the cosmic string spacetime. We show that noninertial effects restrict the physical region of the spacetime where the particle can be placed, and furthermore that the energy levels are shifted by these effects. In addition, we show that the presence of a Coulomb-like scalar potential allows the formation of bound states when the Klein–Gordon equation is considered in this kind of spacetime.

Highlights

In the past few years, the scientific interest in the study of gravitational effects on quantum-mechanical systems has been renewed and many systems has been studied [1,2,3,4,5,6,7,8,9,10,11,12]
A rotating frame in the cosmic string spacetime will be considered, and we will show that noninertial effects restrict the physical region of the spacetime where the particle can be placed, and the energy levels are shifted by the noninertial effects on the particle
This is the energy spectrum for both particle (ε+) and antiparticle (ε−).We can see that the energy spectrum associated with the Klein–Gordon equation in cosmic string space for the Coulomb-like scalar potential depends on α, the deficit angle of the conical spacetime

Summary

Introduction

In the past few years, the scientific interest in the study of gravitational effects on quantum-mechanical systems has been renewed and many systems has been studied [1,2,3,4,5,6,7,8,9,10,11,12]. We will study spin-0 bosons in a cosmic string spacetime by considering the Klein–Gordon equation in the presence of a Coulomb-like scalar potential s (r ) = η/r , where r = x2 + y2 is the radial coordinate and η a constant. A rotating frame in the cosmic string spacetime will be considered, and we will show that noninertial effects restrict the physical region of the spacetime where the particle can be placed, and the energy levels are shifted by the noninertial effects on the particle This interesting feature is an indicator of a deeper phenomenon: the coupling between the angular quantum number and the angular velocity of the rotating frame. The string spacetime is assumed to be static and cylindrically symmetric, and the metric representing this system is given by [2, 18]

Klein–Gordon equation in the cosmic string spacetime

Arbitrary ωα

Conclusions