Charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe at conical approximation

Abstract

The quantum dynamics of charged scalar bosons in a Bonnor-Melvin-$\Lambda$ universe is considered. In this study, the behavior of charged scalar bosons is explored within the framework of the Duffin-Kemmer-Petiau (DKP) formalism. Adopting a conical approximation ($\Lambda \ll 1$), we are considered two scenarios for the vector potential: a linear and quadratic vector potentials. In particular, the effects of this background in the equation of motion, phase shift, $S$-matrix, energy spectrum and DKP spinor are analyzed and discussed.

arXiv comment11 pages, 5 figures

References in corpus (23)

• TASI Lectures on the Cosmological Constant
• Remarks on Duffin-Kemmer-Petiau theory and gauge invariance
• A Naturally Light Dilaton and a Small Cosmological Constant
• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
• Noninertial effects on the quantum dynamics of scalar bosons
• A small weak scale from a small cosmological constant
• Quantum dynamics of scalar bosons in a cosmic string background
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• The DKP oscillator with a linear interaction in the cosmic string space-time
• Cosmic Magnetic Fields and the CMB
• Bonnor-Melvin universe with a cosmological constant
• Dirac equation and the Melvin Metric
• Interacting spin 0 fields with torsion via Duffin-Kemmer-Petiau theory
• Spin 1 fields in Riemann-Cartan space-times "via" Duffin-Kemmer-Petiau theory
• Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator
• Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states
• DKP oscillator in the presence of a spinning cosmic string
• Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
• Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
• Cylindrical spacetimes due to radial magnetic fields
• Effects of a uniform magnetic field on twisted graphene nanoribbons

Cited by in corpus (5)

• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Properties of the magnetic universe with positive cosmological constant
• Scalar and vector bosons in a Bonnor-Melvin-$\Lambda$ spacetime: an exact Duffin-Kemmer-Petiau analysis
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime