Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time

• URL: http://arxiv.org/abs/2503.06675v1
• Date: Sun, 09 Mar 2025 15:57:47 GMT
• Title: Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Authors: Faizuddin Ahmed, Nuray Candemir, Abdelmalek Bouzenada,
• Abstract summary: 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.<n>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.
• Score: 7.074148620839904
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

Related papers

• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Matter relative to quantum hypersurfaces [44.99833362998488]
  We extend the Page-Wootters formalism to quantum field theory. By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
  arXiv  Detail & Related papers  (2023-08-24T16:39:00Z)
• Topological Effects With Inverse Quadratic Yukawa Plus Inverse Square Potential on Eigenvalue Solutions [0.0]
  We study the non-relativistic Schrodinger wave equation under the influence of quantum flux field. We show that the energy eigenvalues are shifted by the topological defects of a point-like global monopole.
  arXiv  Detail & Related papers  (2023-04-25T13:14:36Z)
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry [0.0]
  We investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm flux field. Our findings reveal that the eigenvalue solutions are significantly influenced by the topological defect characterized by the parameter $beta$. This influence manifests as a shift in the energy spectrum, drawing parallels to the gravitational analog of the Aharonov-Bohm effect.
  arXiv  Detail & Related papers  (2023-02-01T17:45:02Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field [0.0]
  We consider a possible scenario of the Lorentz-Violating effects with a Cornell-type electric field and a linear magnetic field. We see that the eigenvalue solutions get modified by the Lorentz symmetry-breaking effects in comparison to the Landau levels.
  arXiv  Detail & Related papers  (2022-12-22T13:06:04Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials [0.0]
  We investigate the quantum dynamics of a Schr"odinger particle confined by the Aharonov-Bohm flux field. We show that the eigenvalue solutions shift more due to the magnetic flux in addition to the topological defects.
  arXiv  Detail & Related papers  (2022-10-04T04:56:43Z)
• Topological Matter and Fractional Entangled Quantum Geometry through Light [0.0]
  We show that global topological properties are encoded from the poles of the surface allowing a correspondence between smooth fields, metric and quantum distance with the square of the topological number. We develop the theory, "quantum topometry" in space and time, and present applications on transport from a Newtonian approach.
  arXiv  Detail & Related papers  (2022-09-30T11:17:24Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)
• Paraxial wave function and Gouy phase for a relativistic electron in a uniform magnetic field [68.8204255655161]
  A connection between quantum mechanics and paraxial equations is established for a Dirac particle in external fields. The paraxial form of the Landau eigenfunction for a relativistic electron in a uniform magnetic field is determined.
  arXiv  Detail & Related papers  (2020-03-08T13:14:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.