Abstract
The focus of our discussion is illustrated by Fig. 1, in which the radial extent of the scattering problem is divided into several regions a la Inokuti.(1) Inner Regia is the domain of hardy and resourceful individuals who are trained from birth to cope with such scourges as correlation and exchange. Outer Regia, in contrast, is a gentler clime of local potentials that are more easily controlled by its residents. These two kingdoms are so different that the rough folk of Inner Regia and the gentle folk of Outer Regia are forbidden to interact except at their common border.
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References
M. Inokuti, Comments At. Mol. Phys. 10, 99–106 (1981).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, U.S. Department of Commerce, National Bureau of Standards Applied Mathematics Series 55 (1965).
R. G. Gordon, Chem. Phys. 51, 14–25 (1969).
D. Secrest, in Methods in Computational Physics, Vol. 10, B. Alder, S. Fernbach, and M. Rotenburg, Eds., pp. 243–286, Academic, New York, 1971.
R. W. White and E. F. Hayes, J. Chem. Phys. 57, 2985–2993 (1972).
W. Eastes and D. Secrest, J. Chem. Phys. 56, 640–649 (1972).
M. A. Morrison, N. F. Lane, and L. A. Collins, Phys. Rev. A 15, 2186–2201 (1977).
M. J. Seaton, J. Phys. B 7, 1817–1840 (1974).
D. W. Norcross and M. J. Seaton, J. Phys. B 6, 614–621 (1973).
L. D. Thomas, M. H. Alexander, B. R. Johnson, W. A. Lester, Jr., J. C. Light, K. D. McLenithan, G. A. Parker, M. J. Redmon, T. G. Schmalz, D. Secrest, and R. B. Walker, J. Comput. Phys. 41, 407–426 (1981).
D. W. Norcross, J. Phys. B 4, 1458–1475 (1971).
L. Fox, The Numerical Solution of Two-Point Boundary-Value Problems in Ordinary Differential Equations, Oxford University Press, London, 1957.
K. Berrington and M. Crees, Comput. Phys. Commun. 17, 181–205 (1979).
P. G. Burke, A. Hibbert, and W. D. Robb, J. Phys. B 4, 153–166 (1971).
D. W. Norcross, Comput. Phys. Commun. 1, 88–96 (1969).
A. T. Chivers, Comput. Phys. Commun. 5, 416–429 (1973).
M. A. Crees, Comput. Phys. Commun. 19, 103–137 (1980).
M. A. Crees, Comput. Phys. Commun. 23, 181–198 (1981).
D. W. Norcross, Comput. Phys. Commun. 6, 257–264 (1973).
F. Calogero, Variable Phase Approach to Potential Scattering, Academic, New York, 1967.
C. Zemach, Nuovo Cimento 33, 939–947 (1964).
J. J. Matese and R. J. W. Henry, Phys. Rev. A 5, 222–226 (1972).
M. LeDourneuf and Vo Ky Lan, J. Phys. B. 10, L35–42 (1977).
E. R. Smith and R. J. W. Henry, Phys. Rev. A 7, 1585–1590 (1973).
W. N. Sams and D. J. Kouri, J. Chem. Phys. 51, 4309–4314 (1969).
A. R. Barnett, D. H. Feng, J. W. Steed, and L. J. B. Goldfarb, Comput. Phys. Commun. 8, 377–395 (1974).
S. P. Rountree, T. Burnett, and R. J. W. Henry, Comput. Phys. Commun. 11, 27–35 (1976).
M. J. Seaton, Comput. Phys. Commun. 25, 87–95 (1982).
R. J. W. Henry, S. P. Rountree, and E. R. Smith, Comput. Phys. Commun. 23, 233–273 (1981).
E. R. Smith, J. Comput. Phys. 18, 201–223 (1975).
P. G. Burke and H. M. Schey, Phys. Rev. 126, 147–162 (1962).
P. G. Burke, D. D. McVicar, and K. Smith, Proc. Phys. Soc. 83, 397–407 (1964).
M. Gailitis, J. Phys. B 9, 843–854 (1976).
M. J. Seaton, Proc. Phys. Soc. 77, 174–183 (1961).
S. Wantanabe and C. H. Green, Phys. Rev. A 22 158–169 (1980).
D. R. Bates and M. J. Seaton, Mon. Not. R. Astron. Soc. 109, 698–704 (1949).
M. J. Seaton and G. Peach, Proc. Phys. Soc. 79, 1296–1297 (1962).
A. Burgess, Proc. Phys. Soc. 81, 442–452 (1963).
P. de A. Martins, J. Phys. B 1, 154–162 (1968).
F. H. M. Faisal, J. Phys. B 1, 181–194 (1968).
D. W. Norcross and M. J. Seaton, J. Phys. B 2 731–739 (1969).
D. L. Knirk, J. Chem. Phys. 57, 4782–4788 (1972).
J. Belling, J. Phys. B 1, 136–138 (1968).
N. C. Sil, M. A. Crees, and M. J. Seaton, J. Phys. B., in press.
P. G. Burke and M. J. Seaton, in Methods in Computational Physics, Vol. 10, B. Alder, S. Fernbach, and M. Rotenburg, Eds., pp. 1–80, Academic, New York, 1971.
J. C. Light and R. B. Walker, J. Chem. Phys. 65, 4272–4282 (1976).
L. A. Collins and B. I. Schneider, Phys. Rev. A 24, 2387–2401 (1981).
K. L. Baluja, P. G. Burke, and L. A. Morgan, Comput. Phys. Commun., in press.
J. P. Croskery, N. S. Scott, K. L. Bell, and K. A. Berrington, Comput. Phys. Commun., in press.
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Norcross, D.W. (1983). Numerical Methods for Asymptotic Solutions of Scattering Equations. In: Burke, P.G., Eissner, W.B., Hummer, D.G., Percival, I.C. (eds) Atoms in Astrophysics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3536-8_2
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