Binding Energy of an Off-Center Hydrogenic Donor Impurity in a Finite Confining Potential Quantum Well

Mikhail, I F I; Ismail, Iyas

doi:10.12693/aphyspola.111.373

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…Zhu and Chen [4] used a trial wave function in the form of linear expansion where the coefficients have been taken as the variational parameters. Alternative forms for the trial wave functions were employed in Wang and Yang [5], Merchancano et al [6] and Mikhail and Ismail [7]. Mikhail and El Sayed [8,9] have derived analytical expressions for the energy expectation value and for the binding energy of central and off -central impurities.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Iteration Method in Single and Multilayered Quantum Dots

Fahim¹,

Mikhail

2022

Journal of Scientific Research in Science

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The asymptotic iteration method (AIM) has been applied to calculate the ground state and binding energy of an impurity located at the center of a single and multilayered spherical quantum dot.Regarding the single quantum dot (QD) the results obtained for the ground state energy and for the first approximation of the binding energy agree entirely with the results of the ordinary perturbation technique obtained in earlier treatments.Besides, the second approximation of the binding energy differs by about 16.5 % in both treatments which is quite reasonable.The results obtained in the case of multilayered spherical quantum dot (MSQD) showed a reasonable quantitative agreement with the results obtained in an earlier treatment by applying an entire numerical technique. They are also distinguished by exhibiting a peak similar to the results obtained before by applying the variational method in analogous problems.

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Section: Introductionmentioning

confidence: 99%

Asymptotic Iteration Method in Single and Multilayered Quantum Dots

Fahim¹,

Mikhail

2022

Journal of Scientific Research in Science

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Binding energy of an off‐centre hydrogenic donor impurity in a spherical quantum dot

Mikhail

Ismail

2007

Physica Status Solidi (b)

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PACS 71.55.-i, 73.21.La A variational calculation is given of the binding energy of an off-centre hydrogenic donor impurity placed in a spherical quantum dot. The study is restricted to the ground state binding energy in the quantum dot. The cases of both infinite and finite confining potentials are considered. The variation of the binding energy as a function of the dot radius and as a function of the impurity position has been investigated. In the case of high finite confining potentials, the initial deviation of the binding energy from the result of infinite potential has been derived. The critical impurity location at which the deviation in the binding energy due to any finite confining potential changes its sign has been determined. The maximum binding energy and the dot radius at which it occurs have further been calculated for any confining potential or any impurity location.

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Hydrogenic impurity in a quantum dot: Comparison between the variational and strong perturbation methods

Mikhail

Ismail

2010

Superlattices and Microstructures

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Binding Energy of an Off-Center Hydrogenic Donor Impurity in a Finite Confining Potential Quantum Well

Cited by 3 publications

References 21 publications

Asymptotic Iteration Method in Single and Multilayered Quantum Dots

Asymptotic Iteration Method in Single and Multilayered Quantum Dots

Binding energy of an off‐centre hydrogenic donor impurity in a spherical quantum dot

Hydrogenic impurity in a quantum dot: Comparison between the variational and strong perturbation methods

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