19 citations · 36 across the 9 of their papers we have counts for
9 papers
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…
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…
Effect of the variational symmetries of the Lagrangian on the propagator and associated conserved operators
G. F. Torres del Castillo, R. L. Lechuga-Solís
Making use of the expression for the propagator in terms of path integrals, we study the effect of certain variational symmetries of a Lagrangian on the corresponding propagator. W…
Transformation of a wavefunction under changes of reference frame
G. F. Torres del Castillo, B. C. Nájera Salazar
A simple procedure to derive the transformation of a wavefunction under a change of reference frame is applied to some examples and its relation with the transformation of the Hami…
Solutions of the Schrödinger equation given by solutions of the Hamilton--Jacobi equation
G. F. Torres del Castillo, C. Sosa-Sánchez
We find the form of the potential depending on the coordinates and the time such that a solution, , of the Hamilton--Jacobi equation yields an exact solution, $\exp ({\rm i} S/\…
Active versus passive transformations in the presence of a magnetic field
G. F. Torres del Castillo, D. A. Rosete-Álvarez
It is shown that, when there is a magnetic field present, in the framework of classical or quantum mechanics, the active translations differ from the passive ones and that the cano…