Luis Aina, Alfredo2023-06-202023-06-202003-02-261050-294710.1103/PhysRevA.67.024102https://hdl.handle.net/20.500.14352/51524©2003 The American Physical SocietyGeometrical optics can be regarded both as the short-wavelength approximation of the propagation of electromagnetic waves, and as the exact way in which propagate the surfaces of discontinuity of the classical electromagnetic field. In this work we translate this last idea to quantum mechanics (both relativistic and nonrelativistic). We find that the surfaces of discontinuity of the wave function propagate exactly following the classical trajectories determined by the Hamilton-Jacobi equation. As an example, we consider the lack of diffraction of abrupt wave fronts.engjournal articlehttp://dx.doi.org/10.1103/PhysRevA.67.024102http://journals.aps.org/open access535Electromagnetic missilesSpherical lensPotentialsLauncherÓptica (Física)2209.19 Óptica Física