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- W2324933111 abstract "The rates of convergence for the partial-wave expansion with odd-power ${r}_{12}$ terms for the ground-state energy of the helium atom are derived. For both the second-order $1/Z$ expansion and the Rayleigh-Ritz variational method, the energy increments of the partial-wave expansion converge as $O({L}^{ensuremath{-}Nensuremath{-}7})$, where $N$ is the highest odd-power ${r}_{12}$ function. The derivations require assumptions of the regularities for the ground-state helium wave function, which have not been established. Numerical results are presented for supporting the theoretical rates of convergence." @default.
- W2324933111 created "2016-06-24" @default.
- W2324933111 creator A5046078938 @default.
- W2324933111 date "2013-09-18" @default.
- W2324933111 modified "2023-10-16" @default.
- W2324933111 title "Rates of convergence of the partial-wave expansion beyond the Kato cusp condition" @default.
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- W2324933111 doi "https://doi.org/10.1103/physreva.88.032511" @default.
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