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physics.class-ph2017
Solutions of the Helmholtz equation given by solutions of the eikonal equation
G. F. Torres del Castillo, Iraís Rubalcava-García
We find the form of the refractive index such that a solution, , of the eikonal equation yields an exact solution, , of the corresponding Helmholtz equat…
physics.class-ph2017★ 4 cited
Symmetries of the equations of motion that are not shared by the Lagrangian
G. F. Torres del Castillo, A. Moreno-Ruiz
We show that if a Lagrangian is invariant under a transformation (with the invariance defined in the standard manner), then the equations of motion obtained from it maintain their…
physics.class-ph2006
Mirror potentials in classical mechanics
G. F. Torres del Castillo, I. Rubalcava Garcia
It is shown that for a central potential that is an injective function of the radial coordinate, a second central potential can be found that leads to trajectories in the configura…