Topological and rotating effects on the Dirac field in the spiral dislocation spacetime

Abstract

By considering a spacetime with a spiral dislocation, we analyse the behaviour of the Dirac field subject to a hard-wall confining potential. In search of relativistic bound states solutions, we discuss the influence of the topology of the spiral dislocation spacetime on the energy levels.Further, we analyse the effects of rotation on the Dirac field in the spiral dislocation spacetime.We show that both rotation and the topology of the spacetime impose a restriction on the values of the radial coordinate. Thus, we analyse the effects of rotation and the topology of the spiral dislocation spacetime on the Dirac field subject to a hard-wall confining potential by searching for relativistic bound states solutions.PACS numbers:

Effects of rotation in the spacetime with the distortion of a vertical line into a vertical spiral

“…The best known example is the cosmic string spacetime [1][2][3][4][5][6][7]. In connection with the description of topological defects in solids [8,9], it has been considered spacetimes with a screw dislocation [6,10,11] and a spiral dislocation [11][12][13]. In recent years, the effects associated with these topological defect spacetimes have been investigated on the interface between general relativity and quantum mechanics [10][11][12][13].…”

Topological Effects of a Spiral Dislocation on Quantum Revivals

“…Let us introduce the spiral dislocation that corresponds to the distortion of a circle into a spiral [21][22][23]45]. Based on the Katanaev-Volovich approach [34], the spiral dislocation is described by the line element:…”

Duffin-Kemmer-Petiau particles in the presence of the spiral dislocation

“…In fact, spiral dislocations (edge dislocation) are a kind of linear topological defect in which distortion of a circle into a spiral is seen. If we assume the units = 1 and c = 1, then, we can express the linear topological defect which is the background of this work with the line element as follows: [39,40]…”

“…In order to solve this second-order differential equation, we consider the form of wave functions as [39] ψ…”

“…Because of the diverging of the Bessel function of the second kind at the origin, we need to choose B = 0 in Eq. (3.3), thus, we have a regular solution at the origin [31,39]. Then, we express the wave function as follows…”