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The wave packet propagation using wavelets

Andrei G. Borisov·Sergei V. Shabanov
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Abstract

It is demonstrated that the wavelets can be used to considerably speed up simulations of the wave packet propagation in multiscale systems. Extremely high efficiency is obtained in the representation of both bound and continuum states. The new method is compared with the fast Fourier algorithm. Depending on ratios of typical scales of a quantum system in question, the wavelet method appears to be faster by a few orders of magnitude.

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Andrei G. Borisov, Sergei V. Shabanov. 2001-10-26. The wave packet propagation using wavelets. https://doi.org/10.1016/s0009-2614(02)00846-1

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