Application of Tietz Potential to Study Singlet-Triplet Transition of a Two-Electron Quantum Dot

Khordad, R.; Mirhosseini, B.

doi:10.1088/0253-6102/62/1/13

Cited by 14 publications

(4 citation statements)

References 30 publications

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“…It was introduced by Wei Hua [39] as a four-parameter potential function for bondstretching vibrations of diatomic molecules, and for fitting the experimental Rydberg-Klein-Rees (RKR) curve function. Extensive research has been carried out to obtain the eigenstates, intersubband optical transitions and energy eigenvalues, among others, of the potential for diatomic molecules, with applications in diverse optical and electronic systems [37,[40][41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

et al. 2020

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We investigate the response of a quantum particle in the Tietz-Hua quantum potential driven by biharmonc fields-a low and a very high-frequency force. The response is characterized by the occurrence of a maximum in the first-order transition probability amplitude, |s| 2 , under the influence of the applied fields. It is shown that in the absence of the high-frequency component of the applied fields, |s| 2 shows a distinct sequence of resonances; whereas an increase in the amplitude of the high-frequency field induces minima in |s| 2. However, the |s| 2 maximum occurs in the lowfrequency regime where it may be considered otherwise weak in the presence of a single harmonic force.

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Section: Introductionmentioning

confidence: 99%

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

et al. 2020

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“…Liang et al [35] showed that the Tietz potential can be used to reproduce the interaction potential energy curve of the A 1 + u state of Na 2 . Recently, we investigated singlet-triplet transition of a two-electron quantum dot using the Tietz potential [36]. Our results showed much less transitions than the parabolic potential.…”

Section: Tietz Potentialmentioning

confidence: 88%

Application of Tietz potential to study optical properties of spherical quantum dots

Khordad

Mirhosseini

2015

Pramana - J Phys

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In this work, we study the optical properties of spherical quantum dots by using Tietz potential. In this regard, we have applied Nikiforov-Uvarov (NU) technique and numerically solved the Schrödinger equation to obtain energy levels and wave functions. Then, by using the density matrix method, we have derived expressions for the changes in linear and third-order nonlinear absorption coefficients and refractive index. According to the results obtained from this work, it is deduced that: (i) the total refractive index and the absorption coefficients increase and shift towards higher energies as v 0 increases; (ii) the total absorption coefficient and refractive index decrease and also shift towards lower energies as r 0 increases.

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“…Unlike its improved versions, the Tietz oscillator has not received much attention in the literature, for example, Nikoofard and coworkers [19] have employed the parametric Nikiforov-Uvarov method to obtain bound states solution of the Schrödinger equation with Tietz potential, the oscillator strength of this potential was hitherto obtained. In another event, Khordad and Mirhosseini have considered the Tietz potential in their studies of singlet-triplet transitions of a two-electron quantum dot [21]. In another related work, they have also employed the Tietz oscillator to explore the optical properties of spherical quantum dots [22].…”

Section: Introductionmentioning

confidence: 99%

J—state solutions and thermodynamic properties of the Tietz oscillator

2021

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In this work, we have solved the radial part of the Schrödinger equation with Tietz potential to obtain explicit expressions for bound state ro-vibrational energies and radial eigenfunctions. The proper quantization rule and ansatz solution technique were used to arrive at the solutions. In modeling the pseudo-spin–orbit term of the effective potential, the Pekeris-like and the Greene-Aldrich approximation recipes were applied. Using our equation for eigen energies, we have deduced expression for bound state energy eigenvalues of Deng-Fan oscillator. The result obtained agrees with available literature data for this potential. Also, for arbitrary values of rotational and vibrational quantum numbers, we have calculated bound state energies for the Tietz oscillator. Our computed results are in excellent agreement with those in the literature. Furthermore, the result showed that unlike Greene-Aldrich approximation, energies computed based on Pekeris-like approximation are better and almost indistinguishable from numerically obtained energies of the Tietz oscillator in the literature. With the help of our formula for ro-vibrational energy, analytical expressions for some important thermodynamic relations were also derived for the Tietz oscillator. The derived thermal functions which include ro-vibrational: partition function, free energy, mean energy, entropy and specific heat capacity were subsequently applied to the spectroscopic data of KI diatomic molecule. Studies of the thermal functions indicated that the partition function decreases monotonically as the temperature is raised and increases linearly for increase in the upper bound vibrational quantum number. On the other hand, increase in either temperature or upper bound vibrational quantum number amounts to monotonic rise in the entropy of the KI molecules

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Application of Tietz Potential to Study Singlet-Triplet Transition of a Two-Electron Quantum Dot

Cited by 14 publications

References 30 publications

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

Application of Tietz potential to study optical properties of spherical quantum dots

J—state solutions and thermodynamic properties of the Tietz oscillator

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