Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T13:26:57.867Z Has data issue: false hasContentIssue false
  • English
  • Français

On the calculation of cross-sections for electron neutral atom collisions in the Born approximation to the reactance matrix

Published online by Cambridge University Press:  24 October 2008

Colm T. Whelan
Colm T. Whelan
Affiliation:
Department of Applied Mathematics and Theoretical Physics and Churchill College, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

Born partial wave integrals are considered for electron-neutral atom collisions. It is shown that for relatively general atomic wave functions these may be evaluated analytically. These form the Born reactance matrix RB and can be used to calculate the collision strengths in the approximations ωI, ωII.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 1 , January 1984 , pp. 179 - 186
Copyright
Copyright © Cambridge Philosophical Society 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Clementi, E.. Tables of Atomic Wave Functions. I.B.M. (1965).Google Scholar
[2] Edmonds, A. R.. Angular Momentum in Quantum Mechanics (Princeton University Press, 1957).CrossRefGoogle Scholar
[3] Lawson, J., Lawson, W. and Seaton, M. J.. The calculation of Born partial wave integrals for some transitions in hydrogen produced by electron impact. Proc. Phys. Soc. 77 (1961), 192.CrossRefGoogle Scholar
[4] Ochkur, V. I.. The Born-Oppenheimer method in the theory of atomic collisions. Soviet Phys. JETP 18 (1964), 503.Google Scholar
[5] Percival, I. and Seaton, M. J.. The partial wave theory for electron hydrogen atom collisions. Math. Proc. Cambridge Philos. Soc. 53 (1957), 654.CrossRefGoogle Scholar
[6] Racah, G.. Theory of complex spectra II. Phys. Rev. 62 (1942), 438.CrossRefGoogle Scholar
[7] Seaton, M. J.. The evaluation of partial wave integrals in the Born approximation. Proc. Phys. Soc. 77 (1961), 184.CrossRefGoogle Scholar
[8] Somerville, W. B.. Cross-sections for electron-hydrogen atom collisions in the Born approximation to the reactance matrix. Proc. Phys. Soc. 82 (1963), 446.CrossRefGoogle Scholar
[9] Watson, G. N.. Theory of Bessel Functions(Cambridge University Press, 1958).Google Scholar
[10] Whelan, C. T.. Seminar paper read to the NATO Advanced Study Institute on Atomic and Molecular Processes in Controlled Thermonuclear Fusion, Palermo, Italy, 19130 July 1982. (Available as a DAMTP preprint.)Google Scholar