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• W2091224291 abstract "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 positive- and negative-energy solutions, each of which splits into two disconnected subspaces depending on the sign of an azimuthal quantum number $k=0,ifmmodepmelsetextpmfi{}1,ifmmodepmelsetextpmfi{}2,dots{}$ and whether the cyclotron frequency is larger or smaller than the oscillator frequency. The spinor wave function is written in terms of the associated Laguerre polynomials. For negative $k$, the relativistic energy spectrum is infinitely degenerate due to the fact that it is independent of $k$. We compare our results with already published work and point out the relevance of these findings to a systematic formulation of the relativistic quantum Hall effect in a confining potential." @default.
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• W2091224291 date "2009-07-22" @default.
• W2091224291 modified "2023-10-13" @default.
• W2091224291 title "Confined Dirac fermions in a constant magnetic field" @default.
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• W2091224291 doi "https://doi.org/10.1103/physreva.80.012109" @default.
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