Confinement control mechanism for two-electron Hulthen quantum dots in plasmas

Bahar, M. K.; Soylu, A.

doi:10.1088/1361-6455/aabc93

Cited by 15 publications

(7 citation statements)

References 58 publications

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“…For the first time, Bahar and Soylu [29] obtained the eigenenergies of two-electron "Hulthen" [30,31] QDs embedded in "Debye" and quantum plasmas modelled by the more general exponential cosine screened Coulomb (MGECSC) potential [32] under the combined influence of E and B fields. The modified SE was solved numerically via the asymptotic iteration method (AIM) [33].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

et al. 2020

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In this study, the Schrodinger equation (SE) with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method.The eigenvalue and eigenfunction for the system are obtained in closed form. It is found that the present of the magnetic field partially removes the degeneracy when the screening parameter of the potential was small   0.005   but the addition of the AB field removed the degeneracy faster and better. The magnetization and magnetic susceptibility of the system are evaluated at zero and finite temperatures and other thermodynamic properties of the system are discussed.More so, the presence of the AB-flux field makes the system to exhibit a both a paramagnetic and diamagnetic behavior. A straight forward extension of these results to three dimension shows that the present result is consistent with those obtained in literature.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

et al. 2020

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“…A variant of this potential is obtained adding a cosine function to the DHS model to obtain the exponential‐cosine‐screened‐Coulomb (ECSC) potential that has been proposed to describe a strong plasma medium with interesting findings for one‐electron atomic systems [5]. For two‐electron atoms, several theoretical efforts has been made in order to describe the electronic properties of these systems screened by the DHS and ECSC potentials using variational methods [6], correlate methods [7–14], among others [15–19]. The principal result of those studies is the ionization of the orbital energies as the electron‐coupling by the plasma medium is increased with consequences in the dipole dependent properties, that is, static polarizability, photo‐ionization, hyperpolarizabilities, and electron scattering.…”

Section: Introductionmentioning

confidence: 99%

The information theory of the helium atom in screened Coulomb potentials

Martínez‐Flores

2020

Int J of Quantum Chemistry

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In this work, we show Hartree–Fock (HF) results for the Shannon entropy, Rényi entropy, Tsallis entropy, Onicescu information energy, and ground‐state properties of the helium atom in screened Coulomb potentials. We solve the HF equations through a numerical grid method where the screened functions model two plasma environments: the Debye–Hückel screening (DHS) and the exponential‐cosine‐screened‐Coulomb (ECSC) model potentials. For plasma conditions near to the energy ionization, for the Shannon entropy, we report an increase of the ∼80% and ∼60% for the DHS and ECSC potentials concerning the unscreened case. A similar situation is found for the Rényi and Tsallis entropies where an increase of ∼86% and ∼57% is reported in the presence of the DHS and ECSC potential functions. Our results allow us to obtain knowledge of the information theory parameters in the description of the electron localization for the helium atom screened by the DHS and ECSC potentials. Finally, our information theory findings in the absence of the screening functions are in excellent agreement with the available results found in the literature.

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“…In other words, the solution should be sought where the probability of the wave function of the relevant particle is greatest. The success of AIM in examining such quantum dot-external (or internal) field-plasma combined systems is undeniable [34][35][36].…”

Section: Theoretical Model and Computation Methodsmentioning

confidence: 99%

Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium

Bahar

2021

Cumhuriyet Science Journal

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In this study, the energy levels of two-electron Cornell quantum dot (TECQD) immersed in Debye and quantum plasma mediums are probed. To model plasma mediums, the more general exponential cosine screened Coulomb (MGECSC) is suggested. The presence of TECQD in plasma environment and velocity-dependent potential (VDP) effect in the system render very difficult to solve the relevant wave equation. Since the analytical solution of the relevant wave equation is very difficult, the numerical asymptotic iteration method (AIM) is used. As well as the effects of the encompassing parameters on the energy levels and possible radiations of TECQD, the effects of VDP and quantum (and Debye) plasma medium are also presented in detail. In addition, the alternativeness of VDP, quantum (and Debye) plasma and encompassing parameters to each other on these effects are also discussed.

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Confinement control mechanism for two-electron Hulthen quantum dots in plasmas

Cited by 15 publications

References 58 publications

Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

The information theory of the helium atom in screened Coulomb potentials

Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium

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