Now showing 1 - 2 of 2
  • Publication
    Quantum information entropy of a particle trapped by the Aharonov–Bohm-type effect
    (IOP Publishing Ltd., 2023)
    Francisco Cleiton E. Lima
    ;
    Allan R.P. Moreira
    ;
    C A S Almeida
    ;
    Collins Okon Edet
    ;
    In this research article, we use the Shannon’s formalism to investigate the quantum information entropy of a particle trapped by the Aharonov-Bohm-type field. For quantum information study, it is necessary to investigate the eigenstates of the quantum system, i.e. the wave functions and energies of the quantum states. We assumed that the particle is in principle, confined in a cylindrical box in the presence of Aharonov-Bohm-type effect due to dislocation defect. Analysis of the quantum information entropy, reveals that the dislocation influences the eigenstates and, consequently, the quantum information of the system.
      1  13
  • 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  13