Scattering of position-dependent mass Schrödinger equation with delta potential

Hassan Hassanabadi; Won Sang Chung; Soroush Zare; Motahareh Alimohammadi

doi:10.1140/epjp/i2017-11422-0

EPJ

Scattering of position-dependent mass Schrödinger equation with delta potential

Hassan Hassanabadi¹^*, Won Sang Chung², Soroush Zare³ and Motahareh Alimohammadi¹

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

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.

ICAMDATA 2022, 12th International Conference on Atomic and Molecular Data and Their Applications
25-29 September 2022
Bari, Italy

EPJ

Scattering of position-dependent mass Schrödinger equation with delta potential

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