Abstract
In the recent paper Jahankohan et al. (Quantum Stud 3:109, 2016), the \(\ell \)-waves Schrödinger equation for the Cornell’s potential is solved in quantum mechanics with a generalized uncertainty principle by following Bouaziz and Ferkous (Phys Rev A 82:022105, 2010). It is showed here that the approach of Bouaziz and Ferkous (Phys Rev A 82:022105, 2010) can only be used for the s-waves, and then the solution given in Jahankohan et al. (Quantum Stud 3:109, 2016) would be true only in the special case \(\ell =0.\) Furthermore, it is highlighted that the abstract and the conclusion of Jahankohan et al. (Quantum Stud 3:109, 2016) do not accurately reflect the results of the paper.
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References
Jahankohan, K., Zarrinkamar, S., Hassanabadi, H.: Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation. Quantum Stud. 3, 109 (2016)
Bouaziz, D., Ferkous, N.: Hydrogen atom in momentum space with a minimal length. Phys. Rev. A 82, 022105 (2010)
Bouaziz, D.: Kratzer’s molecular potential in quantum mechanics with a generalized uncertainty principle. Ann. Phys. 355, 269 (2015)
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Bouaziz, D. Comment on “Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation”. Quantum Stud.: Math. Found. 4, 375–376 (2017). https://doi.org/10.1007/s40509-017-0107-0
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DOI: https://doi.org/10.1007/s40509-017-0107-0