Investigation of the Ramsauer-Townsend effect in q-deformed quantum mechanics and simulation by double Dirac delta potential

Won Sang Chung; Hadi Sobhani; Hassan Hassanabadi

doi:10.1140/epjp/i2017-11691-5

EPJ

Investigation of the Ramsauer-Townsend effect in q-deformed quantum mechanics and simulation by double Dirac delta potential

Won Sang Chung¹, Hadi Sobhani²^* and Hassan Hassanabadi²

¹ Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, 52828, Jinju, Korea
² Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran

Received: 11 June 2017
Accepted: 17 August 2017
Published online: 22 September 2017

Abstract

This article contains some discussion about one of most famous effects in quantum mechanics, the Ramsauer-Townsend effect. But this time, this effect has been studied in a q-deformed formalism of quantum mechanics. After introducing a q-deformed version of quantum mechanics, we will study the Ramsauer-Townsend effect and obtain some results which show how q-deformation can affect the Ramsauer-Townsend effect. Furthermore, this effect has been simulated by using a double Dirac delta potential in a q-deformed version of quantum mechanics.