Nuclear Reactions II: Theory / Kernreaktionen II: Theorie - Handbuch der Physik   Encyclopedia of Physics - S. Flugge - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783642459252 - June 14, 2012
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Nuclear Reactions II: Theory / Kernreaktionen II: Theorie - Handbuch der Physik Encyclopedia of Physics Softcover reprint of the original 1st ed. 1959 edition

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449 one finds that for y = Fo (e) C= :n; V3 [Po (2'Yj) 3 -kjF(i) + (2'Yj)! Fd (2'Yj) 3 -ijF (·m, } 1 ( 14.17) C2 = :n; [ - (2'Yj)! Fd (2'Yj) 3 -ijF(i) + Fo (2'Yj) 3 -~;r(i) J, and if y is to be Go(e), C and Chave the same form with Go (2'Yj) replacing Po (2'Yj) 1 2 and G~(2'Yj) replacing Fd(2'Yj). The values of the functions at eo =2'Yj may be ob­ tained from (14.8). 1 J. K. TYSON has employed the modified Hankel functions of order one­ third 2 as solutions of (13.4) to obtain expressions for the Coulomb functions for L =0 which converge near e =2'Yj. His results appear as linear combinations of the real and imaginary parts of n ~(x) = (12)!e- ;/6 [A;{- x) - iB;(-x) J, (14.18) and its derivatives multiplying power series in x = (e - 2'Yj)j(2'Yj)1. For values 1 away from the turning point for L =0, TYSON has obtained forms for Po{e) and Go(e) which are similar to (13.1) to (13.3). The JWKB approximation is again the leading term, and some higher order corrections are given. Expressions similar to Eqs. (14.11) and (14.12) have been obtained by T. D. 3 NEWTON employing the integral representation of (4.4). His results give re­ presentations of FL(e), Gde) in the vicinity of e=2'Yj [whereas (14.11), (14.12) converge near e=eLJ when L


580 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 14, 2012
ISBN13 9783642459252
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 580
Dimensions 170 × 244 × 30 mm   ·   929 g
Language English  

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