A quantum pseudodot system with a two-dimensional pseudoharmonic potential

Çetin, Abdurrahman

doi:10.1016/j.physleta.2008.02.037

Cited by 107 publications

(53 citation statements)

References 14 publications

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“…Here, we have A = D e r 2 e , B = D e r e and c = −2D e [9,28,29,57,[62][63][64][65][66][67][68][69][70]73,[78][79][80][81][82].…”

Section: The 3-dimensional Schrödinger Equation For the Pseudoharmonimentioning

confidence: 99%

“…This potential has been very useful in the area of physical sciences and it has been extensively used to describe interaction of some diatomic molecules since its introduction [9,28,29,57,[62][63][64][65][66][67][68][69][70][71][72]. Sage [68] has studied the energy levels and wave functions of a rotating diatomic molecule using a three-parameter model potential called the pseudogaussian (pseudoharmonic) potential and he found that the potential is reasonably behaved for both small and large internuclear separations.…”

Section: Introductionmentioning

confidence: 99%

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Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

Oyewumi

Sen

2012

J Math Chem

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For arbitrary values n and quantum numbers, we present the solutions of the 3-dimensional Schrödinger wave equation with the pseudoharmonic potential via the SU (1, 1) Spectrum Generating Algebra (SGA) approach. The explicit bound state energies and eigenfunctions are obtained. The matrix elements r 2 and r d dr are obtained (in a closed form) directly from the creation and annihilation operators. In addition, by applying the Hellmann-Feynman theorem, the expectation values of r 2 and p 2 are obtained. The energy states, the expectation values of r 2 and p 2 and the Heisenberg uncertainty products (HUP) for set of diatomic molecules (CO, NO, O 2 , N 2 , CH, H 2 , ScH) for arbitrary values of n and quantum numbers are obtained. The results obtained are in excellent agreement with the available results in the literature. It is also shown that the HUP is obeyed for all diatomic molecules considered.

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“…Here, we have A = D e r 2 e , B = D e r e and c = −2D e [9,28,29,57,[62][63][64][65][66][67][68][69][70]73,[78][79][80][81][82].…”

Section: The 3-dimensional Schrödinger Equation For the Pseudoharmonimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

Oyewumi

Sen

2012

J Math Chem

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“…[13]. V (r ) is the PHP [14] that includes both harmonic QD potential and antidot potential. And V 0 is the chemical potential of the two-dimensional electron gas and r 0 is the zero point of the PHP.…”

Section: Theoretical Modelmentioning

confidence: 99%

Coulomb Impurity Potential RbCl Quantum Pseudodot Qubit

Xiao

2015

J Low Temp Phys

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By employing a variational method of Pekar type, we study the eigenenergies and the corresponding eigenfunctions of the ground and the first-excited states of an electron strongly coupled to electron-LO in a RbCl quantum pseudodot (QPD) with a hydrogen-like impurity at the center. This QPD system may be used as a twolevel quantum qubit. The expressions of electron's probability density versus time and the coordinates, and the oscillating period versus the Coulombic impurity potential and the polaron radius have been derived. The investigated results indicate 1 that the probability density of the electron oscillates in the QPD with a certain oscillating period of T 0 = 7.817fs, 2 that due to the presence of the asymmetrical potential in the z direction of the RbCl QPD, the electron probability density shows double-peak configuration, whereas there is only one peak if the confinement is a two-dimensional symmetric structure in the x y plane of the QPD, 3 that the oscillation period is a decreasing function of the Coulombic impurity potential, whereas it is an increasing one of the polaron radius.

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“…For example, the parabolic potential [1,2], the Woods-Saxon potential [31], the hyperbolic potential [32], the exponential potential [33], and the linear potential [13] are used. In our paper, we make use of a kind of combination potential which includes the pseudoharmonic potential [34] and the ring-shaped potential [35] to study the nonlinear optical absorption and refractive index changes. The ring-shaped potential was studied by Liu and Guo [36] with the fact that the ring-shaped potential has obvious influences on the linear and the nonlinear optical absorption coefficients and refractive index changes.…”

Section: Introductionmentioning

confidence: 99%

“…The ring-shaped potential was studied by Liu and Guo [36] with the fact that the ring-shaped potential has obvious influences on the linear and the nonlinear optical absorption coefficients and refractive index changes. The pseudoharmonic potential VðrÞ ¼ V 0 ððr=r 0 ÞÀðr 0 =rÞÞ 2 was earlier investigated by Cetin, Bogachek and Landman [34,37]. Their works show how to fabricate the pseudoharmonic potential and give some basic properties about the system.…”

Section: Introductionmentioning

confidence: 99%