An alternative approximation scheme has been used in solving the Schrödinger equation to the more general case of exponential screened Coulomb potential, V(r) = −(a/r)[1 + (1 + br)e −2br]. The bound state energies of the 1s, 2s and 3s-states, together with the ground state wave function are obtained analytically upto the second perturbation term.
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Ikhdair, S.M., Sever, R. Bound states of a more general exponential screened Coulomb potential. J Math Chem 41, 343–353 (2007). https://doi.org/10.1007/s10910-007-9226-x
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DOI: https://doi.org/10.1007/s10910-007-9226-x