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Advances in Physical Chemistry
Volume 2011 (2011), Article ID 541375, 14 pages
Research Article

Invariant Graphical Method for Electron-Atom Scattering Coupled-Channel Equations

1School of Physics, The University of Western Australia, WA 6009, Australia
2Institute of Theoretical Physics, Curtin University of Technology, WA 6102, Australia

Received 9 September 2010; Revised 28 December 2010; Accepted 13 January 2011

Academic Editor: Wybren Buma

Copyright © 2011 J. B. Wang and A. T. Stelbovics. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present application examples of a graphical method for the efficient construction of potential matrix elements in quantum physics or quantum chemistry. The simplicity and power of this method are illustrated through several examples. In particular, a complete set of potential matrix elements for electron-lithium scattering are derived for the first time using this method, which removes the frozen core approximation adopted by previous studies. This method can be readily adapted to study other many-body quantum systems.