PLANAR MASSLESS FERMIONS IN COULOMB AND AHARONOV–BOHM POTENTIALS

DOI10.1142/S0217751X12501692zbMath1260.81076arXiv1305.2040MaRDI QIDQ4912393

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Publication date: 3 April 2013

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2040

zbMATH Keywords

self-adjoint boundary conditionsself-adjoint extensionssingular Hamiltonianmassless fermionCoulomb and Aharonov-Bohm potentialseffective critical chargevirtual bound states

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) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (4)

Ferromagnetic Phase in Graphene‐Based Planar Heterostructures Induced by Charged Impurity ⋮ Zero-mass fermions in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions ⋮ Vacuum charge and current densities in the supercritical two-dimensional Dirac-Coulomb system in a magnetic field with an axial-vector potential ⋮ Dirac Hamiltonian in a supersymmetric framework

Cites Work

• Unnamed Item
• Fermion bound states in the Aharonov-Bohm field in \(2+1\) dimensions
• The Dirac Hamiltonian with a superstrong Coulomb field
• BOUND FERMION STATES IN A VECTOR 1/r AND AHARONOV–BOHM POTENTIAL IN (2+1) DIMENSIONS
• Fermions in scalar Coulomb and Aharonov–Bohm potentials in 2+1 dimensions
• Aharonov-Bohm scattering of particles with spin
• BOUND STATES IN GRAPHENE

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