Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
arXiv:2503.06675 · doi:10.1134/S0040577925010131
Abstract
In this paper, we investigate how the gravitational field generated by a four-dimensional electrovacuum cosmological space-time influences the dynamics of fermionic fields governed by the Dirac equation, while also considering the effects of topology. We derive the radial wave equation corresponding to the relativistic Dirac equation and subsequently obtain analytical solutions for the energy levels and wave functions of the fermionic field within our chosen framework. Our analysis reveals that various parameters, including geometric topology, the cosmological constant, and quantum numbers, play significant roles in determining the eigenvalue solution of the quantum particles. Specifically, we demonstrate that the presence of the topological parameter disrupts the degeneracy of the energy spectrum.
arXiv comment12 pages, 1 figure, published in Theoretical and Mathematical Physics (https://doi.org/10.1134/S0040577925010131)
References in corpus (54)
- Quantum Simulation
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- A General Approach for the Exact Solution of the Schrodinger Equation
- Experimental Realization of Type-II Dirac Fermions in PdTe Superconductor
- Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
- Effects of topological defects and local curvature on the electronic properties of planar graphene
- Topological Defects and Structure Formation
- Transition rate of the Unruh-DeWitt detector in curved spacetime
- Observation of symmetry-protected topological band with ultracold fermions
- Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
- On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
- The Hawking-Unruh phenomenon on graphene
- Energy spectrum of a 2D Dirac electron in the presence of a constant magnetic field
- Chirality Quantum Phase Transition in the Dirac oscillator
- Dislocations and torsion in graphene and related systems
- The Dirac oscillator in a spinning cosmic string spacetime
- Dirac oscillator in an external magnetic field
- Current flow paths in deformed graphene: from quantum transport to classical trajectories in curved space
- Charging axisymmetric space-times with cosmological constant
- Energy Spectrum of a 2D Dirac Oscillator in the Presence of the Aharonov-Bohm Effect
- Fermions without Vierbeins in Curved Space-Time
- Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction
- 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
- The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
- Bonnor-Melvin universe with a cosmological constant
- On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
- Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
- Kaluza-Klein description of geometric phases in graphene
- Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
- Bound state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system
- Quantum phase transitions in the noncommutative Dirac Oscillator
- Relativistic spin-0 Duffin-Kemmer-Petiau equation in Bonnor-Melvin-Lambda solution
- Scalar fields in Bonnor-Melvin Universe with potential: A study of dynamics of spin-0 particles-antiparticles
- Basic quantum mechanics for three Dirac equations in a curved spacetime
- Cosmological magnetic field---the boost-symmetric case
- Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
- Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
- Thermodynamics of Quantum Phase Transitions of a Dirac oscillator in a homogenous magnetic field
- Quantum dynamics of spin-0 particles in a cosmological space-time
- The three-dimensional Dirac-Oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials
- Fermions in the Rindler spacetime
- The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
- The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
- Dirac fields in curved spacetime as Fermi-Hubbard model with non unitary tunnelings
- Curvature-induced bound states and coherent electron transport on the surface of a truncated cone
- PDM relativistic quantum oscillator in Einstein-Maxwell-Lambda space-time
- Experimental Confirmation of Massive Dirac Fermions in Weak Charge-Ordering State in α-(BEDT-TTF)_2I_3
- Some remarks on quantum mechanics in a curved spacetime, especially for a Dirac particle
- Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections
- Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field
- Solution of the Dirac equation in a curved space with static metric
- Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension