Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation

Abstract

In the interface between general relativity and relativistic quantum mechanics, we analyse rotating effects on the scalar field subject to a hard-wall confining potential. We consider three different scenarios of general relativity given by the cosmic string spacetime, the spacetime with space-like dislocation and the spacetime with a spiral dislocation. Then, by searching for a discrete spectrum of energy, we analyse analogues effects of the Aharonov-Bohm effect for bound states and the Sagnac effect.

Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity

“…In contrast to Ref. [42], we can observe that the effects of rainbow gravity modify the relativistic energy levels for a scalar particle subject to a hard-wall confining potential. The effects of the rainbow gravity yield the term 1…”

“…( 32) and ( 33), we obtain the relativistic energy levels analogous to that obtained in Ref. [42] in the absence of rainbow gravity.…”

Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame

“…Some of the other recent researches that have been carried on can be found in Refs. [12][13][14][15][16][17][18][19][20][21][22].…”

Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

“…Recently, dislocation has been investigated in nonrelativistic and relativistic quantum systems. The spiral dislocation, in the nonrelativistic context, has been investigated in the harmonic oscillator [32]; in the relativistic context, it has been investigated in a scalar field in a noninertial frame [33]. The screw dislocation, in the nonrelativistic context, has been applied in the harmonic oscillator [34,35], in the Landau quantization [9,10,36], in the doubly anharmonic oscillator [37], in Landau quantization for an induced electric dipole [38], and in noninertial effects on a nonrelativistic Dirac particle [39].…”