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- W2016295670 abstract "The asymptotic form of the radial wave function for positive-energy states is calculated for the case of a repulsive Coulomb field. The cases of a pure Coulomb potential and a modified Coulomb potential are considered. Second-order analytic solutions for the amplitudes and phases are obtained when the modifications to the pure Coulombic potential take the form ensuremath{alpha}${mathit{r}}^{mathrm{ensuremath{-}}2}$+ensuremath{beta}${mathit{r}}^{mathrm{ensuremath{-}}3}$+ensuremath{gamma}${mathit{r}}^{mathrm{ensuremath{-}}4}$, using the Jeffreys or WKB method. For the case of a pure Coulomb field, numerical results obtained from this method were compared with ``exact'' numerical results that were obtained using the analytic properties of the Coulomb wave functions. Tables are presented to show the conditions under which the method is accurate." @default.
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- W2016295670 date "1990-10-01" @default.
- W2016295670 modified "2023-09-25" @default.
- W2016295670 title "Phases and amplitudes for a modified repulsive Coulomb field" @default.
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- W2016295670 doi "https://doi.org/10.1103/physreva.42.3830" @default.
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