Jia, Chun-ShengDutra, Alvaro de Souza [UNESP]2014-05-202014-05-202006-09-22Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 39, n. 38, p. 11877-11887, 2006.0305-4470http://hdl.handle.net/11449/9080We present a new procedure to construct the one-dimensional non-Hermitian imaginary potential with a real energy spectrum in the context of the position-dependent effective mass Dirac equation with the vector-coupling scheme in 1 + 1 dimensions. In the first example, we consider a case for which the mass distribution combines linear and inversely linear forms, the Dirac problem with a PT-symmetric potential is mapped into the exactly solvable Schrodinger-like equation problem with the isotonic oscillator by using the local scaling of the wavefunction. In the second example, we take a mass distribution with smooth step shape, the Dirac problem with a non-PT-symmetric imaginary potential is mapped into the exactly solvable Schrodinger-like equation problem with the Rosen-Morse potential. The real relativistic energy levels and corresponding wavefunctions for the bound states are obtained in terms of the supersymmetric quantum mechanics approach and the function analysis method.11877-11887engArtigo10.1088/0305-4470/39/38/013WOS:000241555600014Acesso restrito6314084638411003