arXiv subjects

I. Rubalcava Garcia

Publications and source records attributed to I. Rubalcava Garcia.

3 recordsLinked to original sources

arXiv2007

Transfer matrices for piecewise constant potentials

By expressing the time-independent Schrodinger equation in one dimension as a system of two first-order differential equations, the transfer matrix for a rectangular potential barrier is obtained making use of the matrix exponential. It is shown that the transfer matrix allows one to find the bound states and the quasinormal modes. A similar treatment for the one-dimensional propagation of electromagnetic waves in a homogeneous medium is also presented.

physics.class-ph↗

arXiv2006

Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems

It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allow us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.

physics.class-ph↗

arXiv2006

Mirror potentials in classical mechanics

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 configuration space and the momentum space coinciding, respectively, with the trajectories in the momentum space and the configuration space produced by the original potential.

physics.class-ph↗