Now showing 1 - 2 of 2
  • Publication
    Quantum information entropy of heavy mesons in the presence of a point-like defect
    (Elsevier, 2023)
    Carlos Alberto Santos Almeida
    ;
    Collins Okon Edet
    ;
    Francisco Cleiton E. Lima
    ;
    ;
    Muhammad Asjad
    Using Schrödinger's formalism, we investigate the quantum eigenstates of the heavy mesons trapped by a point-like defect and by Cornell's potential. One implements this defect to the model considering a spherical metric profile coupled to it. Furthermore, the Nikiforov–Uvarov method is applied to theory to study the quantum eigenstates of the heavy mesons. To calculate the quantum information entropy (QIE), one considers the wave functions that describe the charmonium and bottomonium states. To explore the QIE, we use the well-known Shannon's entropy formulated at the position and reciprocal space. The analysis of the QIE gives us relevant information about how the quantum information change with the variation of the point-like defect. Consequently, considering the Bialynicki-Birula and Mycielski (BBM) relation, we show how this defect influences the quarkonium position and momentum uncertainty measures.
  • 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.
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