https://doi.org/10.1140/epjp/s13360-020-00955-y
Regular Article
The energy spectrum of a new exponentially confining potential
1
Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John’s, NL, A1B 3X7, Canada
2
Faculty of Technology and Applied Sciences, Al-Quds Open University, Nablus, Palestine
3
Physics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia
* e-mail: iassi@mun.ca
Received:
9
September
2020
Accepted:
18
November
2020
Published online:
25
November
2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
