By P. G. Burke, W. Eissner (auth.), P. G. Burke, W. B. Eissner, D. G. Hummer, I. C. Percival (eds.)

It is tough to understand yet however real that Michael John Seaton, recognized across the world for the passion and ability with which he pursues his study in atomic physics and astrophysics, could be sixty years outdated at the sixteenth of January 1983. To mark this social gathering a few of his colleagues and previous scholars have ready this quantity. It comprises articles that de scribe a few of the subject matters that experience attracted his recognition due to the fact he first began his study paintings at college university London such a lot of years in the past. Seaton's organization with college university London has now stretched over a interval of a few 37 years, first as an undergraduate pupil, then as a examine pupil, after which, successively, as Assistant Lecturer, Lecturer, Reader, and Professor. Seaton arrived at collage university London in 1946 to develop into an undergraduate within the Physics division, having simply left the Royal Air strength within which he had served as a navigator within the Pathfinder strength of Bomber Command. there are various tales of ways his ability with tools and the precision of his calcula tions, later to be so obtrusive in his learn, stored his workforce from enemy motion, and on one celebration, on a flight in the course of the Alps, from a collision with Mount Blanc that on the time used to be shrouded in clouds.

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EISSNER where lei = IkJ The solution vectors must then satisfy Fij(r) = ~ n I=! I=na+! 2: [Si/(r)alj + Ci/(r)blj] + 2: Ei/(r)clj' i = 1, ... ,n; j = 1, ... , na , (SO) where alj' blj' and clj are constants determined by fitting the solutions at the points r N +! and r N + 2 • In principle, these matrices are not all independent, but equivalent linearly independent solutions can be obtained by making different choices of alj' In the original approach, the linear algebraic equations were defined by the matrix equations C·G=X·A, (Sl) where C has dimensions (n tot X n tot ), G and X have dimensions n tot X na and A is the matrix with elements alj in Eq.

G. BURKE AND W. EISSNER We now equate the ingoing waves in Eqs. (3) and (30), where we assume that the radial functions F; have the asymptotic form defined by Eq. (9). If we write our total wave function as (32) where 'Yinc is defined by Eq. [ uji J i' SLS'IT] ji , (33) where we have now shown explicitly the dependence of the S matrix elements on L, S, and 'FT. We now calculate the scattering amplitude for exciting a particular atomic state ajLjSjM£;Ms'FTj with the scattere~electron moving in the direction -it, cp by expanding th~ channel functions

82) as opposed to the symmetric Hamiltonian matrix in the R-matrix method favors the latter method. 4. Matrix Variational Method The Hulthen and Kohn(87,88) variational methods were first used by Massey and Moiseiwitsch(141) in electron-atom scattering to solve the static exchange equations for e- H scattering obtained when just the ground state is retained in Eq. (3). Later Schwartz(142,143) showed how the Kohn variation method could be used to obtain almost exact results in the elastic scattering region, for e-H scattering.