RT Journal Article
T1 Classical mechanics and the propagation of the discontinuities of the quantum wave function
A1 Luis Aina, Alfredo
AB Geometrical 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.
PB American Physical Society
SN 1050-2947
YR 2003
FD 2003-02-26
LK https://hdl.handle.net/20.500.14352/51524
UL https://hdl.handle.net/20.500.14352/51524
LA eng
NO ©2003 The American Physical Society
DS Docta Complutense
RD 22 abr 2025