Abstract

In this paper we obtained exact analytical solutions for the bound states of a Dirac electron in graphene with a magnetic field proportional to the Eckart plus Hulthen potential, and Rosen-Morse potential II plus Woods-Saxon. We used the parametric Nikiforov-Uvarov method to solve the time independent Dirac-Weyl equation. We also presented the energy spectra of HCl, ScH, ScN, and ScF molecules, and showed that some molecules can have energy and others not, or all can have energy or not, for the same given quantum number n.

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