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

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.

Relativistic quantum motion of spin-0 particles under the influence of noninertial effects in the cosmic string spacetime

“…Therefore, in this paper, we have shown some results for quantum systems where general relativistic effects are taken into account, which in addition with the previous results [25,38] present many interesting effects. This is a fundamental subject in physics, and the connections between these theories are not well understood.…”

Generalized Dirac Oscillator in Cosmic String Space-Time

“…oscillator has many applications and has been studied extensively in different field ssuch as high energy physics [12][13][14][15],condensed matter physics [16][17][18], quantum Optics [19][20][21][22][23][24][25] and mathematical physics [26][27][28][29][30][31][32][33] etc. On the other hand, the analysis of gravitational interactions with a quantum mechanical system has recently attracted a great deal attention and has been an active field of research [5][6][34][35][36][37][38][39][40][41][42][43].The study of quantum mechanical problems in curved space-time can be considered as a new kind of interaction between quantum matter and gravitation in the microparticle world. In recent years, the Dirac oscillator embedded in a cosmic string background has inspired a great deal of research such as the dynamics of Diracoscillator in the space -time of cosmic string [44][45][46][47], Aharonov-Casher effect on the Dirac oscillator [5,48], noninertial effects onthe Dirac oscillator in the cosmic string space-time [49]…”

Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states

“…Thus, the KG equation with interactions (the most general Lorentz structure) consists in vectors (A µ and X µ ), and scalar (V s ) potentials. Scalar particles in the background space-time generated by a cosmic string are very interesting systems that have been studied extensively in the literature in recent years [15][16][17][18][19][20]. A natural question arises, whether the presence of such kind of topological defect can also influence the behavior of scattering states and bound states of a given quantum system.…”

“…It was shown that the Landau levels of the spinning cosmic string remain the same even when the internal magnetic flux vanishes. Solutions of the KG equation with Coulomb-type scalar potential in the cosmic string space-time are considered in Ref [17]. Another example of vector-scalar Coulomb potentials has been developed in [15] considering the presence of a dyon and Aharonov-Bohm magnetic field.…”