Eur. Phys. J. B 48, 583-586 (2005)
https://doi.org/10.1140/epjb/e2005-00422-x

Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

¹ Department of Physics, Faculty of Engineering, Gaziantep University, 27310 Gaziantep, Turkey
² Department of Physics, College of Science, Sultan Qaboos University, PO Box 36, Al-Khod 123, Muscat, Sultanate of Oman

Corresponding authors: ^a koc@gantep.edu.tr - ^b kocam@squ.edu.om

Received: 14 May 2005
Revised: 18 September 2005
Published online: 23 December 2005

Abstract

Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schrödinger equation for spatially varying effective mass, the simplest problem, namely, transmission through a square well potential with a position dependent mass barrier is studied and its novel properties are obtained. The solutions presented here may be advantageous in the design of semiconductor devices.