Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Yahya, W. A.; Falaye, Babatunde J.; Oluwadare, O. J.; Oyewumi, K. J.

doi:10.1142/s0218301313500626

Cited by 17 publications

(14 citation statements)

References 115 publications

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“…The perturbation here is necessary since two models have a wide range of applications in various aspects of physics. The Yukawa potential has previously been used to calculate the energy levels of neutral atoms (see Yahya et al 2013 [5] and references therein). The Hulthén potential is a useful model that are always attract attentions of researchers in many fields of physics including nuclear and high energy physics (Hulthén & Sugawara 1957), atomic physics [7,8], solid state physics [9]) and chemical physics [10].…”

Section: Introductionmentioning

confidence: 99%

The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

Oyewumi

Oluwadare

2016

Eur. Phys. J. Plus

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The Hulthén-type potential is perturbed by adding Yukawa potential. By applying a short-range approximation to the Schrödinger equation containing this model via standard method, the scattering state solutions and the corresponding phase shifts were obtained. Our numerical calculations and graphical solutions show the dependencies of scattering phase shifts on Yukawa potential constant , asymptotic wave number , screening parameter and angular momentum quantum number .

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Section: Introductionmentioning

confidence: 99%

The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

Oyewumi

Oluwadare

2016

Eur. Phys. J. Plus

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“…By considering the Dirac wave equation and its corresponding spinors, the two-coupled first-order differential equations for the upper and lower components of the spinor may be obtained as [30][31][32][33] [ + ]…”

Section: The Basic Equationsmentioning

confidence: 99%

Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry

Oyewumi

Oluwadare

2017

Advances in High Energy Physics

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In this paper, we studied the approximate scattering state solutions of the Dirac equation with the hyperbolical potential with pseudospin and spin symmetries. By applying an improved Greene-Aldrich approximation scheme within the formalism of functional analytical method, we obtained the spin-orbit quantum numbers dependent scattering phase shifts for the spin and pseudospin symmetries. The normalization constants, lower and upper radial spinor for the two symmetries, and the relativistic energy spectra were presented. Our results reveal that both the symmetry constants (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly.

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“…It is well known that exact solutions of this equation are only possible for a few potential models, such as the Kratzer [6][7], Eckart potential [8][9][10], shifted Deng-Fan [11][12][13][14], Molecular Tietz potential [15][16][17][18], etc. The exact analytical solutions of the Schrödinger equation with some of these potentials are only possible for = 0.…”

Section: Introductionmentioning

confidence: 99%

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

et al. 2020

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Analytical solutions of the Schrödinger equation for the generalized trigonometric Pöschl–Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been considered. Using the energy equation obtained, the partition function was calculated and other relevant thermodynamic properties. More so, we use the concept of the superstatistics to also evaluate the thermodynamics properties of the system. It is noted that the well-known normal statistics results are recovered in the absence of the deformation parameter and this is displayed graphically for the clarity of our results. We also obtain analytic forms for the energy eigenvalues and the bound state eigenfunction solutions are obtained in terms of the hypergeometric functions. The numerical energy spectra for different values of the principal and orbital quantum numbers are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the trigonometric Pöschl–Teller potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods

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Solutions of the Dirac Equation With the Shifted Deng–fan Potential Including Yukawa-Like Tensor Interaction

Cited by 17 publications

References 115 publications

The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

The scattering phase shifts of the Hulthén-type potential plus Yukawa potential

Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry

Solutions of Schrodinger equation and thermal properties of generalized trigonometric Poschl-Teller potential.

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