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The Solution of the Schrödinger Equation for an Approximate Atomic Field

1951; American Institute of Physics; Volume: 83; Issue: 1 Linguagem: Inglês

10.1103/physrev.83.71

1536-6065

Edward H. Kerner,

Advanced Physical and Chemical Molecular Interactions

An approximate atomic potential having an "effective nuclear charge for potential," that is, bilinear in the radial distance from the nucleus, is discussed and shown to approximate reasonably well to Hartree or Fermi-Thomas potentials. The Schr\"odinger equation with the approximate potential is solved as a series of hydrogenic wave functions and as a power series in $\frac{\mathrm{Ar}}{(1+Ar)}$ ($A$ being a parameter of the potential). Some illustrative numerical results pertaining to the mercury atom are presented.