Dirac oscillator in an external magnetic field

2009/07/31 by Bhabani Prasad Mandal, Shweta Verma · 2 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Dirac (video compression format) #Field (mathematics) #Landau quantization #Magnetic field #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Topological Materials and Phenomena #hep-th #quant-ph

paper · pdf · doi:10.1016/j.physleta.2009.12.048

published as Phys.Lett.A374:1021-1023,2010 · Revised Version, Latex, 9 pages, No figs, To appear in Phys. Lett. A

arxiv created 2009/12/19 · openalex publication_date 2009/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that 2+1 dimensional Dirac oscillators in an external magnetic field is mapped onto the same with reduced angular frequency in absence of magnetic field. This can be used to study the atomic transitions in a radiation field. Relativistic Landau levels are constructed explicitly. Several interesting features of this system are discussed.

Citations

• Comparison of quantum and semiclassical radiation theories with application to the beam maser
• Chirality quantum phase transition in the Dirac oscillator
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov–Bohm effect
• Exact mapping of the2+1Dirac oscillator onto the Jaynes-Cummings model: Ion-trap experimental proposal
• The Dirac oscillator. A relativistic version of the Jaynes-Cummings model
• The electronic properties of graphene

Cited by

• Noncommutative Dirac oscillator in an external magnetic field
• PT phase transition in a (2+1)-d relativistic system

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• Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field
• Different electromagnetic physical representations of the Dirac's oscillator according with its spatial dimension