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- W2000306730 abstract "The classical form factor is deduced from exact correspondence with a phase-space representation of the quantal form factor. Analytical expressions are provided for $nstackrel{ensuremath{rightarrow}}{l}{n}^{ensuremath{'}}{l}^{ensuremath{'}},$ $nstackrel{ensuremath{rightarrow}}{l}{n}^{ensuremath{'}}$, and $stackrel{ensuremath{rightarrow}}{n}{n}^{ensuremath{'}}$ transitions in hydrogenic systems and for $stackrel{ensuremath{rightarrow}}{n}{n}^{ensuremath{'}}$ in the one-dimensional harmonic oscillator. An efficient procedure for calculation of quantal form factors as analytical functions of momentum transfer, for arbitrary quantum numbers, is presented. The classical approach has the ability to explain quite succinctly interesting trends and various important aspects which remain hidden within the quantal treatment of form factors. The classical-quantal comparison ranges from being qualitatively good for $nstackrel{ensuremath{rightarrow}}{l}{n}^{ensuremath{'}}{l}^{ensuremath{'}}$ transitions to close agreement for $nstackrel{ensuremath{rightarrow}}{l}{n}^{ensuremath{'}}$ and $stackrel{ensuremath{rightarrow}}{n}{n}^{ensuremath{'}}$ transitions. Excellent agreement is obtained for the integrated form factor for all transitions." @default.
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- W2000306730 date "1999-08-01" @default.
- W2000306730 modified "2023-10-17" @default.
- W2000306730 title "Classical and quantal atomic form factors for arbitrary transitions" @default.
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- W2000306730 doi "https://doi.org/10.1103/physreva.60.1053" @default.
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