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 et al (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-Shrodinger equation in two-dimensional Cartesian coordinates', they have used the so called Zhu and Kroemer's ordering alpha = -1/2 = gamma and beta = 0 (Zhu and Kroemer 1983 Phys. Rev. B 27 3519). While their treatment for this part is correct beyond doubt, their treatment of the second part of 'PDM in a magnetic field' is improper. We address these improper treatments and report the correct presentation for minimal coupling under PDM settings.