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The energy spectrum of a new exponentially confining potential

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Abstract

In this work, we consider a general Morse-type confining potential that was introduced recently by Alhaidari (J Theor Math Phys 205, 2020. arXiv:2005.09080). This potential is completely confining and hence has an infinite discrete spectrum. We compute the energy spectrum associated with this confining potential using two different approaches so as to ensure the correctness of our results. We use both asymptotic iteration method and the numerical diagonalization method based on the tridiagonal representation approach of our unperturbed Hamiltonian to compute the energy spectrum. We found that both approaches resulted in bound state energies that are in agreement with each other to a high degree of accuracy.

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Acknowledgements

The authors would like to thank Prof. Abdulaziz Alhaidari for very fruitful discussions and assistance during the writing of this paper. The authors appreciate the anonymous referee for the very constructive comments that helped improve this manuscript. H. B. acknowledge support of KFUPM under research group project DF191008.

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Authors and Affiliations

  1. Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John’s, NL, A1B 3X7, Canada

    Ibsal Assi

  2. Faculty of Technology and Applied Sciences, Al-Quds Open University, Nablus, Palestine

    Abdullah Sous

  3. Physics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Hocine Bahlouli

Authors
  1. Ibsal Assi
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  2. Abdullah Sous
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  3. Hocine Bahlouli
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Correspondence to Ibsal Assi.

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Assi, I., Sous, A. & Bahlouli, H. The energy spectrum of a new exponentially confining potential. Eur. Phys. J. Plus 135, 937 (2020). https://doi.org/10.1140/epjp/s13360-020-00955-y

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00955-y

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