RT Journal Article T1 A Relativistic equation for a slowly varying potential A1 Roy, C.L. A1 Méndez Martín, María Bianchi A1 Domínguez-Adame Acosta, Francisco AB A relativistic equation is derived for a slowly varying potential by suitably approximating the one-dimensional Dirac equation. This equation is shown to be akin to the Schrodinger equation with an effective potential and effective eigenvalues. An iterative procedure for solving this equation is indicated. As an application, the relativistic treatment of the Mathieu potential on the basis of this equation is considered and results are compared with those obtained by solving the exact one-dimensional Dirac equation. These results are likely to take adequate account of the relativistic impacts on electrons near Fermi levels in metals. PB IOP Publishing LTD SN 0305-4470 YR 1994 FD 1994-05-21 LK https://hdl.handle.net/20.500.14352/58968 UL https://hdl.handle.net/20.500.14352/58968 LA eng NO © 1994 IOP Publishing Ltd DS Docta Complutense RD 8 abr 2025