Abstract
In this appendix we describe R-matrix and log-derivative propagator methods that have been used to solve the coupled second-order differential equations which arise in R-matrix theory of atomic, molecular and optical collision processes in the external region. This generalizes and extends our discussion of propagator methods in potential scattering in Sect. 4.5.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Abramowitz, I.A. Stegun (eds.), Handbook of Mathematical Functions (Dover Publications, New York, NY, 1965)
M.H. Alexander, J. Chem. Phys. 81, 4510 (1984)
M.H. Alexander, D.E. Manolopoulos, J. Chem. Phys. 86, 2044 (1987)
K.L. Baluja, P.G. Burke, L.A. Morgan, Comput. Phys. Commun. 27, 299 (1982)
P.G. Burke, V.M. Burke, J. Phys. B At. Mol. Opt. Phys. 30, L383 (1997)
V.M. Burke, C.J. Noble, Comput. Phys. Commun. 85, 471 (1995)
R.G. Gordon, in Methods in Computational Physics, vol. 10, ed. by B. Alder, S. Fernbach, M. Rotenberg (Academic Press, New York, NY and London, 1971), pp. 81–109
B.R. Johnson, J. Comput. Phys. 13, 445 (1973)
J.C. Light, R.B. Walker, J. Chem. Phys. 65, 4272 (1976)
J.C. Light, R.B. Walker, E.B. Stechel, T.G. Schmalz, Comput. Phys. Commun. 17, 89 (1979)
M.A. Lysaght, P.G. Burke, H.W. van der Hart, Phys. Rev. Lett. 101, 253001 (2008)
M.A. Lysaght, P.G. Burke, H.W. van der Hart, Phys. Rev. A 79, 053411 (2009)
M.A. Lysaght, P.G. Burke, H.W. van der Hart, 2009, Phys. Rev. Lett. 102, 193001 (2009)
M.A. Lysaght, S. Hutchinson, H.W. van der Hart, New J. Phys. 11, 093014 (2009)
F. Mrugala, D. Secrest, J. Chem. Phys. 78, 5954 (1983)
B.I. Schneider, R.B. Walker, J. Chem. Phys. 70, 2466 (1979)
B.I. Schneider, H.S. Taylor, J. Chem. Phys. 77, 379 (1982)
E.B. Stechel, R.B. Walker, J.C. Light, J. Chem. Phys. 69, 3518 (1978)
A.G. Sunderland, C.J. Noble, V.M. Burke, P.G. Burke, Comput. Phys. Commun. 145, 311 (2002)
H.W. van der Hart, M.A. Lysaght, P.G. Burke, Phys. Rev. A 76, 043405 (2007)
H.W. van der Hart, M.A. Lysaght, P.G. Burke, Phys. Rev. A 77, 065401 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Burke, P.G. (2011). Propagator Methods. In: R-Matrix Theory of Atomic Collisions. Springer Series on Atomic, Optical, and Plasma Physics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15931-2_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-15931-2_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15930-5
Online ISBN: 978-3-642-15931-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)