https://doi.org/10.1140/epjp/s13360-024-05323-8
Regular Article
Study of the fractional Schrödinger equation with Morse potential and the optical properties of quantum dots under the magnetic field
Physics Department, Sebelas Maret University, Surakarta, Indonesia
Received:
6
January
2024
Accepted:
29
May
2024
Published online:
17
June
2024
In this work, we study the Schrödinger equation in the domain of General Fractional Derivative (GFD) for Morse potential and position-dependent mass (PDM) under the magnetic field. By using Generalised Fractional (GF) Nikivorov–Uvarov (NU) method, the energy spectra and the wave functions of CdS and ZnS quantum dots (QDs) are obtained. The plots of the energy spectra are presented with respect to various values of the mass parameter, magnetic field strength, potential parameters, and fractional parameter values. The results show that the energy increases linearly with increasing fractional parameter 
. Also, energy raises as the magnetic field increases. In addition, the density matrix is applied to examine the optical properties involving refractive index changes and absorption coefficients. Our results show that the refractive index changes and absorption coefficients shift in energies with increasing magnetic fields.
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