A perturbative treatment for the energy levels of neutral atoms

Abstract

Energy levels of neutral atoms have been re-examined by applying an alternative perturbative scheme in solving the Schrodinger equation for the Yukawa potential model with a modified screening parameter. The predicted shell binding energies are found to be quite accurate over the entire range of the atomic number $Z$ up to 84 and compare very well with those obtained within the framework of hyper-virial-Pade scheme and the method of shifted large-N expansion. It is observed that the new perturbative method may also be applied to the other areas of atomic physics.

arXiv comment18 pages

References in corpus (7)

• Supersymmetry and Quantum Mechanics
• An Alternative Treatment for Yukawa-Type Potentials
• Systematic Search of Exactly Solvable Non-Central Potentials
• Generalized Supersymmetric Perturbation Theory
• An Approach To Potential Scattering
• A New Algebraic Approach to Perturbation Theory
• A perturbative treatment for the exponential-cosine-screened Coulomb potential

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