Optical Properties of Modified Pöschl-Teller Quantum Well with Position-Dependent Mass

Abstract

Optical properties of modified Poschl-Teller quantum well are studied with considering a position- dependent mass of an electron in the confinement potential. Analytical and numerical calculation are investigated based on the point canonical transformation method. Author to whom correspondence should be addressed. Researches shows that there are several theoretical analysis of the optical properties is associated with inter- subband optical transitions in nanostructures which are presented in scientific literatures. 18-21 In this paper, we attempt to investigate the analytical and numerical calcu- lation of the optical properties of modified Poschl-Teller potential (MPTP) with considering position-dependent mass effect. At first, we choose the exact solvable case and use PCTM to solve the wave equation and obtain the wave function and corresponding energy eigenstates. In addi- tion, the numerical solutions are introduced for compari- son and checked the accuracy of our calculations. Then, we use the same method to investigate optical properties of MPTP with an arbitrary position-dependent mass func- tion numerically. Model and discussion are brought in the following section, including the optical properties. Finally, some conclusions are highlighted.