Now showing 1 - 2 of 2
  • Publication
    Non-Relativistic treatment of the 2D electron system interacting via Varshni–Shukla potential using the asymptotic iteration method
    ( 2022)
    Collins Okon Edet
    ;
    Salman Mahmoud
    ;
    Etido P. Inyang
    ;
    ; ; ;
    Akpan Ndem Ikot
    ;
    Muhammad Asjad
    The nonrelativistic treatment of the Varshni–Shukla potential (V–SP) in the presence of magnetic and Aharanov–Bohm fields is carried out using the asymptotic iteration method (AIM). The energy equation and wave function are derived analytically. The energy levels are summed to obtain the partition function, which is employed to derive the expressions for the thermomagnetic properties of the V–SP. These properties are analyzed extensively using graphical representations. It is observed that in the various settings of the analysis, the system shows a diamagnetic characteristic, and the specific heat capacity behavior agrees with the recognized Dulong–Petit law, although some slight anomaly is observed. This irregular behavior could be attributed to a Schottky anomaly. Our findings will be valuable in a variety of fields of physics, including chemical, molecular and condensed matter physics, where our derived models could be applied to study other diatomic molecules and quantum dots, respectively.
      2  16
  • Publication
    Influence of perturbations on linear and nonlinear optical properties of quantum dot
    (Springer, 2023)
    Collins Okon Edet
    ;
    Emre Bahadir Al
    ;
    Fatih Ungan
    ;
    Etido Patrick Inyang
    ;
    ; ; ;
    This study focused on investigating the influence of perturbations on the linear and nonlinear optical properties of GaAs/ Ga1-xAlxAs screened modified Kratzer potential (SMKP) quantum dot (QD). The optical absorption coefficients (OACs) and refractive index changes (RICs) for GaAs/ Ga1-xAlxAs have been presented. The density matrix and iterative approaches were used to derive expressions of OACs and RICs in SMKP QD. The diagonalization method has been used to obtain energy eigenvalues and eigenfunctions of GaAs/ Ga1-xAlxAs SMKP QD under the effects of Al concentration-x, hydrostatic pressure, and temperature. Our results reveal that the Al concentration-x, hydrostatic pressure, and temperature greatly impact the position and amplitude of the resonant peaks of the linear and nonlinear OACs and RICs. Interpretations have been presented in detail. The results of this study will find applications in the optical physics of semiconductors and other systems.
      1  17