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2009

Confined Dirac Fermions in a Constant Magnetic Field

Jellal, Ahmed, Alhaidari, Abdulaziz D., Bahlouli, Hocine

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We obtain an exact solution of the Dirac equation in (2+1)-dimensions in the presence of a constant magnetic field normal to the plane together with a two-dimensional Dirac-oscillator potential coupling.

The solution space consists of a positive and negative energy solution, each of which splits into two disconnected subspaces depending on the sign of an azimuthal quantum number, k = 0, \pm 1, \pm 2,...
and whether the cyclotron frequency is larger or smaller than the oscillator frequency.
The spinor wavefunction is written in terms of the associated Laguerre polynomials.

Confined Dirac Fermions in a Constant Magnetic Field · Around

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Then

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Any other choice for the pair of Pauli matrices can be obtained from the present one through a unitary transformation, hence leaving the physics of the problem unaltered

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