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The chapter describes the “Real Wavepacket” method and the equivalent “time-independent wavepacket” method. In the Real Wavepacket method the time evolution operator is replaced by an iterative process involving only real, as opposed to complex, algebra. In order to simplify the iterative process the Hamiltonian is mapped onto a function of itself. All the theory and accompanying details are discussed. The method is equivalent to the time-dependent method, but is more efficient. The calculation of the reactive S matrix is described and illustrative results from current literature are presented.

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