Numerical Treatment of Coulomb Wave Functions

Molecular photoionization. I. Development of a computational method

“…Explicit formulas for /(p) and g(p) are given elsewhere. 50 Using the above algorithm the Coulomb functions may be determined to an accurflcy of better than one part in 10 4 •…”

Application of Coulomb wave functions to an orthogonal series associated with steady axisymmetric Euler flows

“…2.1]. An elementary derivation of it was introduced in [7]. As Infeld [10] (and [9] for details of his method) pointed out by using the operators…”

“…We can represent G L ( , ) without the imaginary unit as There are various formulas for F L ( , ) and G L ( , ) in [2,7]. In particular, the case L = = 0 is easy: F 0 (0, ) = sin and G 0 (0, ) = cos .…”

Microscopic study of the five-nucleon system

“…S (rg, 14) x s (rr, 1/z)] J where, for example, the first delta function means that the zcomponent of the spin of particle one is + 1/2 and the second delta function indicates that particle one is a neutron. It is permissible to write the spin-isospin function in this simple way (that is, giving each particle a definite spin and isospin component)…”

“…Togeth er they must be orthog onal to After some algebra, these two terms reduce to 1 1-'= A; T e 6*" P N R+ 6 <R* In order to evaluate the integral over t, we make a series expansion of the exponehtials and make use of .. 4 4-'/ -# and 1.F, (9(,9, 3.9 5)= (1-9,3-/3*Fl (B,r-6(,r·-1 ) , 12-1, ) (8)(9)(10)(11)(12)(13)(14) with the result that . e x p l--F t. .…”