de Castro, A. S.2014-05-202014-05-202004-08-02Physics Letters A. Amsterdam: Elsevier B.V., v. 328, n. 4-5, p. 289-298, 2004.0375-9601http://hdl.handle.net/11449/9076The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. (C) 2004 Elsevier B.V. All rights reserved.289-298engDirac equationscalar potentialArtigo10.1016/j.physleta.2004.06.035WOS:000223004100006Acesso restrito5811700083195480