Comment on 'Two-dimensional position-dependent massive particles in the presence of magnetic fields"

Abstract

Using the well known position-dependent mass (PDM) von Roos Hamiltonian, Dutra and Oliveira (2009 J. Phys. A: Math. Theor. 42 025304) have studied the problem of two-dimensional PDM particles in the presence of magnetic fields. They have reported exact solutions for the wavefunctions and energies. In the first part of their study "PDM-Shr\"odinger equation in two-dimensional Cartesian coordinates", they have used the so called Zhu and Kroemer's ordering {\alpha}=-1/2={\gamma} and \b{eta}=0 <cite>5</cite>. While their treatment for this part is correct beyond doubt, their treatment of second part "PDM in a magnetic field" is improper . We address these improper treatments and report the correct presentation for minimal coupling under PDM settings.