Research Article

Approximate analytical solutions of the Schrodinger equation in central potential field

Volume: 4 Number: 2 December 31, 2022
EN

Approximate analytical solutions of the Schrodinger equation in central potential field

Abstract

We investigate the approximate l-state solutions of the Schrodinger equation for Hulthen plus a class of Yukawa potential. In this context, we construct the bound-state energy equation and the wave-function expressed by the Gauss hypergeometric function by means of asymptotic iteration approach in detail.

Keywords

Thanks

The author would like to thank 6th International Conference of Mathematical Sciences (ICMS 2022) for this opportunity.

References

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  4. Referans 4 H. Louis, B. I. Ita, and N. I. Nzeata, Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule, Eur. Phys. J. Plus 134 (2019) 13.
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  6. Referans 6 A. I. Ahmadov, M. Demirci, S. M. Aslanova, M. F. Mustamin, Arbitrary l-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials,Phys. Lett. A 384 (2020) 126372-13.
  7. Referans 7 G. Osobonye, U. S. Okorie, P. Amadi, and A. N. Ikot Statistical analysis and information theory of screened Kratzer–Hellmann potential model, Can. J. Phys. 99 (2021) 9.
  8. Referans 8 A. I. Ahmadov, M. Demirci, M. F. Mustamin, S. M. Aslanova, and M. Sh. Orujova, Analytical bound state solutions of the Dirac equation with the Hulth ́en plus a class of Yukawa potential including a Coulomb-like tensor interaction , Eur. Phys. J. Plus 136 (2021) 208-29.

Details

Primary Language

English

Subjects

Software Engineering (Other)

Journal Section

Research Article

Publication Date

December 31, 2022

Submission Date

August 5, 2022

Acceptance Date

September 29, 2022

Published in Issue

Year 2022 Volume: 4 Number: 2

APA
Özfidan, A. (2022). Approximate analytical solutions of the Schrodinger equation in central potential field. Proceedings of International Mathematical Sciences, 4(2), 59-64. https://doi.org/10.47086/pims.1156823
AMA
1.Özfidan A. Approximate analytical solutions of the Schrodinger equation in central potential field. PIMS. 2022;4(2):59-64. doi:10.47086/pims.1156823
Chicago
Özfidan, Aysel. 2022. “Approximate Analytical Solutions of the Schrodinger Equation in Central Potential Field”. Proceedings of International Mathematical Sciences 4 (2): 59-64. https://doi.org/10.47086/pims.1156823.
EndNote
Özfidan A (December 1, 2022) Approximate analytical solutions of the Schrodinger equation in central potential field. Proceedings of International Mathematical Sciences 4 2 59–64.
IEEE
[1]A. Özfidan, “Approximate analytical solutions of the Schrodinger equation in central potential field”, PIMS, vol. 4, no. 2, pp. 59–64, Dec. 2022, doi: 10.47086/pims.1156823.
ISNAD
Özfidan, Aysel. “Approximate Analytical Solutions of the Schrodinger Equation in Central Potential Field”. Proceedings of International Mathematical Sciences 4/2 (December 1, 2022): 59-64. https://doi.org/10.47086/pims.1156823.
JAMA
1.Özfidan A. Approximate analytical solutions of the Schrodinger equation in central potential field. PIMS. 2022;4:59–64.
MLA
Özfidan, Aysel. “Approximate Analytical Solutions of the Schrodinger Equation in Central Potential Field”. Proceedings of International Mathematical Sciences, vol. 4, no. 2, Dec. 2022, pp. 59-64, doi:10.47086/pims.1156823.
Vancouver
1.Aysel Özfidan. Approximate analytical solutions of the Schrodinger equation in central potential field. PIMS. 2022 Dec. 1;4(2):59-64. doi:10.47086/pims.1156823
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