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- Title
A new comparison theorem on Hellmann potential.
- Authors
Sen, K. D.; Mandal, Debjit
- 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.
- Subjects
HELLMANN-Feynman theorem; COULOMB potential; MATHEMATICS theorems; ENERGY levels (Quantum mechanics); NUMERICAL analysis
- Publication
Journal of Molecular Modeling, 2018, Vol 24, Issue 10, p1
- ISSN
1610-2940
- Publication type
Article
- DOI
10.1007/s00894-018-3840-3