Time-dependent coupled harmonic oscillators: Comment

Abstract

Macedo and Guedes showed recently how to solve a system of coupled harmonic oscillators with time dependent parameters [ J. Math. Phys. 53, 052101 (2012)]. We show here that the way in which they get rid of the time dependent masses is incorrect and some terms lack in the transformed Hamiltonian. We also show a correct way of eliminating from the Hamiltonian the time dependent masses.