Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential

Ikhdair, Sameer M.; Sever, R.

doi:10.1016/j.amc.2010.01.072

Cited by 47 publications

(67 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We use the existing approximation for the centrifugal potential term in the non-relativistic model [9,19] which is valid only for value [62,68]:…”

Section: Methods Of Analysismentioning

confidence: 99%

“…and then follow the model used in [62,68,69] by inserting the above equation and the approximate potential term (33) into (32), we obtain …”

Section: The Eckart-type Modelmentioning

confidence: 99%

“…Quite recently, we have also proposed a new approximation scheme for the centrifugal term [13,14]. The Nikiforov-Uvarov (NU) method [60] and other methods have also been used to solve the D-dimensional Schrödinger equation [61] and relativistic D-dimensional KG equation [62], Dirac equation [6,15,39,40,63] and spinless Salpeter equation [64].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Ikhdair¹

2011

JQIS

Self Cite

View full text Add to dashboard Cite

The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital quantum number l and dimensional space D. The relativistic/non-relativistic energy spectrum formula and the corresponding un-normalized radial wave functions, expressed in terms of the Jacobi polynomials

show abstract

“…We use the existing approximation for the centrifugal potential term in the non-relativistic model [9,19] which is valid only for value [62,68]:…”

Section: Methods Of Analysismentioning

confidence: 99%

“…and then follow the model used in [62,68,69] by inserting the above equation and the approximate potential term (33) into (32), we obtain …”

Section: The Eckart-type Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Ikhdair¹

2011

JQIS

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this way, a spin-orbit coupling term is added to the Dirac Hamiltonian [18][19][20][21][22][23][24][25].…”

mentioning

confidence: 99%

“…The solutions of the Dirac equation having the pseudospin and spin symmetries have been strongly studied in recent years. The Dirac equation under the spin and/or pseudospin symmetry has been investigated by with different type of potentials such as the Mie-type potential [9], Coulomb-like potential [10], Wood-Saxon potential [11], Eckart potential [12], the generalized Poschl-Teller potential [13], the Makarov potential [14], the Davidson potential [15], the special Hulthen potential [16], the Hyperbolic potential [17], etc.…”

mentioning

confidence: 99%

Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction

Eshghi

Mehraban²

2011

J. Sci. Res.

View full text Add to dashboard Cite

We study the Dirac equation for the q-deformed hyperbolic Scarf potential including a coulomb-like tensor potential under the spin symmetry. The parametric generalization of the Nikiforov-Uvarov method is used to obtain the energy eigenvalues equation and the unnormalized wave functins.Keywords: Dirac equation; q-deformed hyperbolic Scarf; Spin symmetry; Tensor coupling.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i2.7295 J. Sci. Res. 3 (2), 239-247 (2011)

show abstract

Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields

Eshghi

Azar

Soudi

2021

Math Methods in App Sciences

View full text Add to dashboard Cite

In this research, we have extracted the covariant form of the Schrödinger equation in the Riemannian manifold 0.25emscriptM0.25em= ℝ3 with a position‐dependent mass (PDM) distribution in the presence of magnetic fields for each point p∈scriptM. Then, we have solved the extracted nonrelativistic equation for a charged particle with a PDM in quantum system under the magnetic and Aharonov–Bohm (AB) flux fields and Yukawa‐like potential using the Frobenius series method. It is interesting that the obtained analytical solutions of the nonrelativistic equation have been expressed in terms of the biconfluent Heun function (BHF). Then, we have expanded the BHF as the power series and obtained a three‐term recurrence relation between the successive coefficients of the power expansion. To investigate the nontrivial solution of the power expansion, we need to apply an explicit continued fraction equation for the coefficients of the recurrence relation. This relation must be satisfied in order to assure the series convergence. At the continuation, we have found two different conditions using the submitted lemmas. Then, using the obtained conditions, we have calculated the eigenvalues and eigenfunctions of the particle in the arbitrary point of the manifold. Finally, the canonical formalism is applied to compute different thermodynamic variables for the case of the higher temperatures. Also, we have discussed the special states on the obtained results.

show abstract

Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential

Abstract: We study the effect of spatially dependent mass function over the solution of the Dirac equation The special cases κ = ±1 (l = l = 0, i.e., s-wave), the constant mass and the non-relativistic limits are briefly investigated.

Cited by 47 publications

References 61 publications

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Bound States of the Klein-Gordon for Exponential-Type Potentials in D-Dimensions

Eigen Spectra for q-Deformed Hyperbolic Scarf Potential Including a Coulomb-like Tensor Interaction

Schrödinger equation based analytic assessment of thermal properties of confined electrons under vector and scalar fields

Contact Info

Product

Resources

About