The Hulthén potential in D-dimensions

In this article, using an exactly‐solvable multiparameter exponential‐type potential we propose a unified treatment of the analytical bound—state solutions of the Schrödinger equation for exponential‐type potentials in D‐dimensions. Our proposal accepts different approximations to the centrifugal term; however, its usefulness is exemplified in the frame of the Green and Aldrich approach. This fact enables us to compare our results with specific potentials found in the literature and that are obtained here as particular cases of our proposal. That is, instead of solving a specific exponential‐type potential, by resorting each time to a specialized method, the energy spectra and wavefunctions are derived straightforward from the proposed approach. Furthermore, our proposal can be used as an alternative way in the search of solutions to new exponential‐type potentials besides that one can study different approximations to the term 1/r2. © 2014 Wiley Periodicals, Inc.

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“…After some simplifications, the above results agree with those given by Agboola . In this case, we have used the fact that

h_{L} = 2 ℓ + D - 2

and

4 L (L + 1) = (2 ℓ + D - 1) (2 ℓ + D - 3)

.…”

Section: Applicationssupporting

confidence: 80%

“…After some simplifications, the above results agree with those given by Agboola. [26] In this case, we have used the fact that h L 52'1D22 and 4LðL11Þ5ð2'1D21Þð2'1D23Þ. Also, accordingly to eqs.…”

Section: Bound State Solutions For the D-dimensional Hult En Potentialmentioning

confidence: 99%

Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Peña

García‐Martínez

García-Ravelo

et al. 2014

Int J of Quantum Chemistry

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“…For example, the D-dimensional Schrödinger equation has been studied with the Coulomb-like potential [21], pseudoharmonic potential [22], Hulthén potential [23] and Pöschl-Teller potential [24]. In addition, the D-dimensional relativistic KleinGordon and Dirac equations were studied with many exactly solvable models [25][26][27][28][29][30].…”

Section: Agboolamentioning

confidence: 99%

Dirac equation with spin symmetry for the modified Pöschl–Teller potential in D dimensions

Agboola

2011

Pramana - J Phys

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We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Pöschl-Teller potentials within the framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov-Uvarov method and the two-component spinor wave functions obtained are in terms of the Jacobi polynomials. It is found that there exist only positive energy states for bound states under spin symmetry, and the energy of a level with fixed value of n, increases with increase in dimension of space time and the potential range parameter α.

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“…Recently, most of the theoretical studies have been developed to study the solutions of radial Schrödinger equation in the higher dimensions. These studies are general and one can directly obtain the results in the lower dimensions [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The -dimensional Schrödinger equation has been solved by various methods as the Nikiforov-Uvarov (NU) method [9][10][11][12], asymptotic iteration method (AIM) [13], Laplace Transform method [14,15], supersymmetric quantum mechanics (SUSQM) [16], power series technique [17], Pekeris type approximation [18], and the analytical exact iteration method (AEIM) [19].…”

Section: Introductionmentioning

confidence: 99%

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

Abu‐Shady

Abdel-Karim

Khokha

2018

Advances in High Energy Physics

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The N-dimensional radial Schrödinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been calculated in the N-dimensional space for any state. The present results have been applied for studying quarkonium properties such as charmonium and bottomonium masses at finite temperature and quark chemical potential. The binding energies and the mass spectra of heavy quarkonia are studied in the N-dimensional space. The dissociation temperatures for different states of heavy quarkonia are calculated in the three-dimensional space. The influence of dimensionality number (N) has been discussed on the dissociation temperatures. In addition, the energy eigenvalues are only valid for nonzero temperature at any value of quark chemical potential. A comparison is studied with other recent works. We conclude that the AEIM succeeds in predicting the heavy quarkonium at finite temperature and quark chemical potential in comparison with recent works.

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The Hulthén potential in D-dimensions

Cited by 68 publications

References 28 publications

Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Dirac equation with spin symmetry for the modified Pöschl–Teller potential in D dimensions

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

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