DKP equation in a rotating frame with magnetic cosmic string background

Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect

“…Here, we have r ≡ s = ±1 and rs = 1, where r = +1 describes a particle with up and r = −1 describes a particle with down, respectively. We verify that the first term in (43) represent the Hamiltonian of the 2D QHO in the presence of the AC effect and under the influence of topological, noninertial and spin effects. Here, the topological effects now are generated by a conic Euclidean space [91].…”

“…In the last years, nonineral effects have also been investigated in some condensed matter systems, such as in the quantum Hall effect [32,33], Bose-Einstein condensates [34,35], fullerene molecules [36,37], and in atomic gases [38,39]. In addition, the study of noninertial effects in relativistic quantum systems also gained relevance and focus of investigations in recent years [40][41][42][43][44]. In particular, the DE in a rotating frame has several interesting applications, for instance, is applied in physical problems involving spin currents [45,46], Sagnac and Hall effects [47,48], chiral symmetry [49], external magnetic fields [50,51], fullerene molecules [52][53][54], nanotubes and carbon nanocons [55,56], and so on.…”

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

“…Noninertial effects on physical systems are another kind of aspect that have been studied in much work in the literature [26][27][28][29][30][31][32][33][34]. A special case of a noninertial system is the rotating frame of reference.…”

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

“…In an analysis by Landau and Lifshitz on the effects of rotation in the Minkowski spacetime with cylindrical symmetry, they showed that the radial coordinate becomes restricted in an interval, where this restriction is an effect directly related to the uniform rotation [21]. This restriction from the effects of uniform rotation has been widely used for studies in a relativistic quantum mechanics system, for example, in a Dirac particle [22], in a relativistic Landau-He-McKellar-Wilkens quantization [23], on the Dirac oscillator [24], on a scalar field in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation [6], on the quantum dynamics of scalar bosons [25], in the relativistic quantum motion of spin-0 particles under in the cosmic string spacetime [26], in the Duffin-Kemmer-Petiau equation with magnetic cosmic string background [27]. In the nonrelativistic case, this restriction has been studied in a Dirac particle in the spacetime with a screw dislocation [16] and on nonrelativistic topological quantum scattering [28].…”