Eur. Phys. J. Plus (2017) 132: 135
https://doi.org/10.1140/epjp/i2017-11422-0

Regular Article

Scattering of position-dependent mass Schrödinger equation with delta potential

¹ Physics Department, Shahrood University of Technology, Shahrood, Iran
² Department of Physics and Research Institute of Natural Science, College of Natural Science, Chinju, South Korea
³ Department of Basic Sciences, Islamic Azad University North Tehran Branch, Tehran, Iran

^* e-mail: h.hasanabadi@shahroodut.ac.ir

Received: 17 January 2017
Accepted: 25 February 2017
Published online: 22 March 2017

Abstract

The scattering of the position-dependent mass Schrödinger equation due to both single Dirac delta and double Dirac delta potentials has been investigated. We have obtained the reflection as well as transmission coefficients and current density for both potentials. Moreover, we have studied the Ramsauer-Townsend effect with the position-dependent mass in quantum mechanics.