Abstract
The decomposition of radioactive chemical products usually follows an exponential dynamics. The present paper deals with the problem of analyzing the unknown dynamics of pseudo-radioactive materials for which we have a temporal sample of the amount of the decomposing product. The strategy for studying if the adjustment of the dynamics is or not of exponential type is to use a recent generalization of the Shannon’s sampling theorem for non-band limited signals. The aim of the paper is to present an alternative and short proof of this result with a completely different approach to the original one by using transform theory.
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This is one of several papers published in Journal of Mathematical Chemistry, “Special Issue: CMMSE 2010”, with invited editorial contribution by Prof. Jesus Vigo-Aguiar.
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Guirao, J.L.G., de Bustos, M.T. Dynamics of pseudo-radioactive chemical products via sampling theory. J Math Chem 50, 374–378 (2012). https://doi.org/10.1007/s10910-010-9788-x
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DOI: https://doi.org/10.1007/s10910-010-9788-x