Approximate analytical solutions of the Schrodinger equation in central potential field

Yıl 2022, Cilt: 4 Sayı: 2, 59 - 64, 31.12.2022

Aysel Özfidan

https://doi.org/10.47086/pims.1156823

Öz

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.

Anahtar Kelimeler

Asymptotic iteration method, Yukawa potential, Hulthen potential

Teşekkür

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

Kaynakça

• Referans 1 H. Ciftci, R. L. Hall, and N. Saad C ̧ , Asymptotic iteration method for eigenvalue problems, J. Phys. A: Math. Gen. 36 (2003) 11807-11816.
• Referans 2 H. Ciftci, R. L. Hall, and N. Saad,Construction of exact solutions to eigenvalue problems by the asymptotic iteration method, J. Phys. A: Math. Gen. 38 (2005) 1147-1155.
• Referans 3 H. Ciftci, R. L. Hall, and N. Saad, Iterative solutions to Dirac equation, Phys.Rev. A 72 (2005) 022101-7.
• 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.
• Referans 5 C. O. Edet, K. O. Okorie, H. Louis, and N. I. Nzeata, Any l-state solutions of the Schrödinger equation interacting with Hellmann–Kratzer potential model, Indian J. Phys. 94 (2019) 243-251.
• 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.
• 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.
• 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.
• Referans 9 L. Hulth ́en,Uber die eigenl ̈os ̈ungen der Schr ̈odinger Gleichung des deuterons , Ark. Mat. Astron. Fys 28A (1942) 5.
• Referans 10 H. Yukawa,On the interactions of elementary particles I , Proc. Phys. Math. Soc. Jap. 17 (1935) 48-57.
• Referans 11 R. L. Greene, and C. Aldrich, Variational wave functions for a screened Coulomb potential, Phys.Rev. A 14 (1976) 2363-2366.