The three-dimensional Dirac oscillator in the presence of Aharonov-Bohm and magnetic monopole potentials

DOI10.1007/s10702-005-1318-xzbMath1099.81027arXivhep-th/0501037OpenAlexW2027025953MaRDI QIDQ2505664

A. D. Alhaidari

Publication date: 28 September 2006

Published in: Foundations of Physics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0501037

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (6)

SOLUTION OF THE DIRAC EQUATION WITH NONCENTRAL THREE-VECTOR POTENTIAL ⋮ Non-inertial effects on a generalized DKP oscillator in a cosmic string space-time ⋮ Dirac oscillator in an external magnetic field ⋮ Structure of the electromagnetic field allowing exact solution of the Schrödinger equation in superposition with an Aharonov-Bohm field ⋮ On the motion of a quantum particle in the spinning cosmic string space-time ⋮ Quantum motion in superposition of Aharonov–Bohm with some additional electromagnetic fields

Cites Work

• Dynamical breaking of supersymmetry
• The Dirac equation in the Bertotti-Robinson space-time
• Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov-Bohm effect
• Relativistic analogy of the Aharonov-Bohm effect in the presence of Coulomb field and magnetic charge
• The Dirac oscillator of arbitrary spin
• Aharonov-Bohm scattering of particles with spin
• Scattering and bound states for a class of non-central potentials

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