Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime

Abstract

We consider Dirac equation in $(2+1)$ dimensional curved spacetime in the presence of a scalar potential. It is then shown that the zero energy states are degenerate and they can be obtained when the momentum $k_y$ in the $y$ direction satisfies certain constraints involving the mass parameter and the scalar potential coupling.

10 pages, 2 figures

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