Energy conservation in approximated solutions of multiple beam scattering problems

Details Energy conservation in approximated solutions of multiple beam scattering problems Energy conservation in approximated solutions of multiple beam scattering problems

2004-09-08

arxiv.org/abs/cond-mat/0409181v1

Physics

Condensed Matter

Materials Science

4 pages, 1 figure

Scientific paper

10.1016/j.nimb.2005.03.290

Solutions in the form of series expansion, as the Born approximation, are very useful for describing time-independent scattering of quantum particles. In this work, it is mathematically demonstred that such solutions, when applied to multiple beam scattering phenomena, can lead to energy violation where the number of incident and scattered particles is not preserved. General basic conditions for developing consistent solutions of time-dependent multiple beam scattering problems are outlined.

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