Abdulaziz D. Alhaidari, Hocine Bahlouli, Ahmed Jellal
We study the confinement of charged Dirac particles in 3+1 space-time due to
the presence of a constant and tilted magnetic field. We focus on the nature of
the solutions of the Dirac equation and on how they depend on the choice of
vector potential that gives rise to the magnetic field. In particular, we
select a "Landau gauge" such that the momentum is conserved along the direction
of the vector potential yielding spinor wavefunctions, which are localized in
the plane containing the magnetic field and normal to the vector potential.
These wave functions are expressed in terms of the Hermite polynomials. We
point out the relevance of these findings to the relativistic quantum Hall
effect and compare with the results obtained for a constant magnetic field
normal to the plane in 2+1 dimensions.
View original:
http://arxiv.org/abs/1202.5226
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