Noninertial effects on a scalar field in a spacetime with a magnetic screw dislocation

Abstract

We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein-Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.

Klein-Gordon Oscillator Under the Effects of the Cornell-Type Interaction in the Kaluza-Klein Theory

“…that is, a Coulomb-type potential. This kind of potential has been investigated on KGO [43], on a scalar particle in spacetime with torsion [35,36] and in possible scenarios of Lorentz symmetry violation [42,46]. Therefore, in this particular case, (19) is reduced and gives us the allowed values of the KGO frequency for the lowest energy state of the system…”

“…Energy relativistic effects appearing in these quantum systems with position-dependent mass have been investigated. Interesting properties emerge in systems with quarkantiquark interaction [28], with pionic atom [29], in the spacetime with curvature [30][31][32], in the spacetime with torsion [33][34][35][36], in the Som-Raychaudhuri spacetime [37][38][39], in possible scenarios of Lorentz symmetry violation [40][41][42], on the Klein-Gordon oscillator (KGO) [43][44][45][46], in solution of the Dirac equation in a conical spacetime [47] and in Kaluza-Klein theory (KKT) [48][49][50]. The procedure of inserting central potentials into relativistic wave equations is given by the transformation m → m + S( r) [29], where m is the rest mass and S( r) is the scalar potential.…”

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

“…[30]). With χ = 0, we have that the energy eigenvalue (45) stems from the interaction of the Klein-Gordon oscillator with a magnetic field and a linear scalar potential in the Minkowski space-time with a cosmic string. Thus, the topology of the space-time also changes the pattern of oscillation of the ground state energies.…”

Quantum Influence of Topological Defects on a Relativistic Scalar Particle with Cornell-Type Potential in Cosmic String Space-Time with a Spacelike Dislocation

“…Furthermore, for χ → 0 and α → 1, the study space-time reduces to Minkowski flat space metric in cylindrical coordinates. Topological defects associated with torsion have investigated in solid state [30,65,66,67,68], quantum scattering [69], bound states solutions [52,59,70], and in relativistic quantum mechanics [71,72]. The metric tensor for the space-time (3) to be…”

“…, we can see that the power series expansion H(x) becomes a polynomial of degree n by imposing the following two conditions[3,5,7,12,19,50,51,52,53,54,57,59,71,74,85,86,92,93] Θ = 2 n, (n = 1, 2, ....)…”