A new comparison theorem on Hellmann potential
1School of Chemistry, University of Hyderabad, Hyderabad, 500046, India. kds77@uohyd.ac.in.
Abstract:
Using some basic inequalities, the spherical Hellmann potential is assigned its place in the hierarchy of relative ordering, within the set of standard screened Coulomb potentials at all radial distances. The previously known comparison theorem applicable to the screened Coulomb potentials is thereby expanded to ascertain the relative ordering of energy levels for nℓ-states of Hellmann potential vis-a-vis those corresponding to the screened Coulomb potentials. The analytic results are supported by numerical calculation.
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