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Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential

Author

Listed:
  • P. O. Ushie
  • C. M. Ekpo
  • T. O. Magu
  • P. O. Okoi

Abstract

Within the framework of Nikiforov-Uvarov method, we obtained an approximate solution of the Schrodinger equation for the Energy Dependent Generalized inverse quadratic Yukawa potential model. The bound state energy eigenvalues for were computed for various vibrational and rotational quantum numbers. Special cases were considered when the potential parameters were altered, resulting into Energy Dependent Kratzer and Kratzer potential, Energy Dependent Kratzer fues and Kratzer fues potential, Energy Dependent Inverse quadratic Yukawa and Inverse quadratic Yukawa Potential, Energy Dependent Yukawa (screened Coulomb) and Yukawa (screened Coulomb) potential, and Energy Dependent Coulomb and Coulomb potential, respectively. Their energy eigenvalues expressions and numerical computations agreed with the already existing literatures.

Suggested Citation

  • P. O. Ushie & C. M. Ekpo & T. O. Magu & P. O. Okoi, 2021. "Arbitrary l-Solutions of the Schrodinger Equation in Arbitrary Dimensions for the Energy Dependent Generalized Inverse Quadratic Yukawa Potential," European Journal of Applied Physics, European Open Science, vol. 3(2), pages 34-43, March.
    • Handle: RePEc:epw:physic:v:3:y:2021:i:2:id:11063
    DOI: 10.24018/ejphysics.2021.3.2.63
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    References listed on IDEAS

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    1. E. S. William & J. A. Obu & I. O. Akpan & E. A. Thompson & E. P. Inyang, 2020. "Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn," European Journal of Applied Physics, European Open Science, vol. 2(6), November.
    2. repec:ibn:ijcjnl:v:10:y:2018:i:3:p:99-106 is not listed on IDEAS
    3. E. P. Inyang & E. P. Inyang & I. O. Akpan & J. E. Ntibi & E. S. William, 2020. "Analytical Solutions of the Schrödinger Equation with Class of Yukawa Potential for a Quarkonium System Via Series Expansion Method," European Journal of Applied Physics, European Open Science, vol. 2(6), November.
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