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- W1487307987 abstract "The integral I= integral Ylm(P-hat)(A+2L.P)-ivd Omega p is evaluated analytically in terms of Gauss hypergeometric functions and the result has been checked by comparison with the known results corresponding to v=0, +or-i. Two applications of this result are given: (i) analytic evaluation of the zeroth-order strong potential Born amplitude for electron capture into arbitrary hydrogenic states, and (ii) expansion of (P-K)2iv-2 in spherical harmonics and evaluation of a partial-wave expansion of Coulomb continuum wavefunctions in momentum space. By analytic continuation it has been shown that the radial part of the partial-wave expansion in case (ii) gives the corresponding bound-state wavefunction in momentum space obtained by Podolsky and Pauling (1929)." @default.
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- W1487307987 date "1987-02-14" @default.
- W1487307987 modified "2023-09-24" @default.
- W1487307987 title "Evaluation and application of integral Ylm(P-hat)(A+2L.P)-ivdΩp" @default.
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- W1487307987 doi "https://doi.org/10.1088/0022-3700/20/3/009" @default.
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