Relativistic spinless particles with position dependent mass: Bound states and scattering phase shifts

Taş, Ahmet; Aydoğdu, Oktay; Saltı, Mustafa

doi:10.3938/jkps.70.896

Cited by 10 publications

(4 citation statements)

References 37 publications

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“…The integral in equation ( 24) is calculated for different n values using the Mathematica software program as follows [26][27][28][29][30]:…”

Section: Bound State Solution Of the Non-relativistic Wave Equationsmentioning

confidence: 99%

The calculation of ro-vibrational energies, franck-condon factors and r-centroids for Yttrium/Scandium oxides in D-dimension

Taş

2023

Phys. Scr.

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The spectroscopic data as ro-vibrational energy values, Franck-Condon Factors and r-centroids are obtained for Yttrium/Scandium oxides with (B 2Σ+, X 2Σ+) different electronic states. Ro-vibrational energy values are calculated by bound state solution of the Schrödinger equation for the general molecular potential by applying Pekeris-type approximation to the centrifugal term in D-dimensional. Using these solutions, the relation giving the bound state energy eigenvalues and the corresponding wave functions expression are derived. The Franck-Condon factors and r-centroids values are determined by using Fraser-Jarmain method for the B 2Σ+ → X 2Σ+ electronic transitions in both molecules. All the results obtained are given numerically in the tables. The obtained values are compared with the previously get data in the literature and it is seen that the results are consistent.

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“…The integral in equation ( 24) is calculated for different n values using the Mathematica software program as follows [26][27][28][29][30]:…”

Section: Bound State Solution Of the Non-relativistic Wave Equationsmentioning

confidence: 99%

The calculation of ro-vibrational energies, franck-condon factors and r-centroids for Yttrium/Scandium oxides in D-dimension

Taş

2023

Phys. Scr.

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“…By applying the principles of truncation as suggested by [23] to the higher powers of z beyond the second degree, Eq. ( 21) is transformed to the hyper geometric-type second order differentiate equation solvable by the NU method.…”

Section: Solution Of Schrodinger Equation For Shscmentioning

confidence: 99%

Arbitrary Solution of the Schrödinger Equation Interacting with the Superposition of Hulthen with Spin-orbit Plus Adjusted Coulomb Potential Model

2021

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In this study, we solve the non-relativistic radial part of the Schrödinger wave equation for the superposition of the Hulthen with spin-orbit plus adjusted Coulomb potential (SHSC) potential using the Nikiforov-Uvarov (NU) method for arbitrary states. The Hulthen with spin-orbit plus adjusted Coulomb (SHSC) potential is the simplest potential field for a nuclear system and has been used to obtain the single particle energy spectrum for both nucleon species orbiting a closed nuclear core. We also obtained in this study the corresponding single particle normalized wave function expressed in terms of the Jacobi polynomial. Besides, we obtained two special cases of the energy spectra for the SHSC potential.

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“…To reach an approximate solution in ( 21), we apply the principle of [48] to higher degree polynomials greater than two. Hence,…”

Section: Nlj Ementioning

confidence: 99%

Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

et al. 2020

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The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

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Relativistic spinless particles with position dependent mass: Bound states and scattering phase shifts

Cited by 10 publications

References 37 publications

The calculation of ro-vibrational energies, franck-condon factors and r-centroids for Yttrium/Scandium oxides in D-dimension

The calculation of ro-vibrational energies, franck-condon factors and r-centroids for Yttrium/Scandium oxides in D-dimension

Arbitrary Solution of the Schrödinger Equation Interacting with the Superposition of Hulthen with Spin-orbit Plus Adjusted Coulomb Potential Model

Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

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