Relativistic Landau Levels in the Rotating Cosmic String Spacetime

Abstract

In the spacetime induced by a rotating cosmic string we compute the energy levels of a massive spinless particle coupled covariantly to a homogeneous magnetic field parallel to the string. Afterwards, we consider the addition of a scalar potential with a Coulomb-type and a linear confining term and completely solve the Klein-Gordon equations for each configuration. Finally, assuming rigid-wall boundary conditions, we find the Landau levels when the linear defect is itself magnetized. Remarkably, our analysis reveals that the Landau quantization occurs even in the absence of gauge fields provided the string is endowed with spin.

Writing and grammar revised. References added. 14 pages, no figures. To appear in European Phys. J. C

References in corpus (12)

• On the Origin of Cosmic Magnetic Fields
• CMB constraints on cosmic strings and superstrings
• Gravitational lensing by cosmic strings: what we learn from the CSL-1 case
• Landau quantization for a neutral particle in presence of topological defects
• Landau Quantization in the Spinning Cosmic String Spacetime
• Light Deflection with Torsion Effects Caused by a Spinning Cosmic String
• Photon mass as a probe to extra dimensions
• Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
• Quantum Newtonian cosmology and the biconfluent Heun functions
• Light-Cone Fluctuations in the Cosmic String Spacetime
• Noninertial effects on a Dirac neutral particle inducing an analogue of the Landau quantization in the cosmic string spacetime
• Gravitational Field of a Spinning Cosmic String

Cited by in corpus (38)

• The Dirac oscillator in a spinning cosmic string spacetime
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• 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
• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states
• The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• DKP oscillator in the presence of a spinning cosmic string
• On the position dependent effective mass Hamiltonian
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
• Landau levels in a gravitational field: The Schwarzschild spacetime case
• On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
• Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect
• Dynamics of free time-dependent effective mass
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation
• Scalar bosons in Bonnor-Melvin-$\Lambda$ universe: Exact solution, Landau levels and Coulomb-like potential
• Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion
• Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition
• Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time
• Relativistic Quantum Dynamics on a Double Cone
• Finite temperature Casimir effect for a spinor field in cosmic dispiration spacetime