Noninertial Effects on a Dirac Neutral Particle Inducing an Analogue of the Landau Quantization in the Cosmic String Spacetime

Abstract

We discuss the behaviour of external fields that interact with a Dirac neutral particle with a permanent electric dipole moment in order to achieve relativistic bound states solutions in a noninertial frame and in the presence of a topological defect spacetime. We show that the noninertial effects of the Fermi-Walker reference frame induce a radial magnetic field even in the absence of magnetic charges, which is influenced by the topology of the cosmic string spacetime. We then discuss the conditions that the induced fields must satisfy to yield the relativistic bound states corresponding to the Landau-He-McKellar-Wilkens quantization in the cosmic string spacetime. Finally we obtain the Dirac spinors for positive-energy solutions and the Gordon decomposition of the Dirac probability current.

Relativistic Landau levels in the rotating cosmic string spacetime

“…Regarding Landau levels, in the spacetime of a stationary spinning cosmic string one does not find much literature [25,26] in contrast to what happens with static strings (see [27][28][29][30], and references therein). This is probably due to the analogies and possible technological applications [31] found in condensed matter physics (e.g.…”

Rotating effects on the Dirac oscillator in the cosmic string spacetime

“…Studies of noninertial effects have discovered interesting quantum effects such as the Sagnac effect [26,27], the Mashhoon effect [28], persistent currents in quantum rings [29], the coupling between the angular momentum and the angular velocity of the rotating frame [30][31][32] and spin currents [33]. Other works that worth mentioning are studies involving rotational and gravitational effects in quantum interference [34][35][36], Dirac fields [37], scalar fields [38], the influence of Lorentz transformations [39], the weak field approximation [40], the Landau-He-McKellar-Wilkens quantization [41] and confinement of a neutral particle to a quantum dot [42,43]. In this work, we show that both noninertial effects and the topology of the cosmic string spacetime restrict the physical region of the spacetime where the quantum particle can be placed.…”

Landau quantization in the spinning cosmic string spacetime

“…About the Landau levels of particles localized in the spacetime of spinning cosmic string, there is little literature [14], as opposed to what happens with static cosmic strings [15,16,17,18], in despite of the occurrence of analogues to the spinning cosmic string in condensed matter physics, more specifically vortices in superfluids [19,20]. We think that the present paper gives a contribution in the direction to suppress this gap, helping to elucidate the theoretical Landau quantization of charged particles placed in the spacetime of spinning cosmic strings, including the possibility of these having internal structure.…”