Abstract
The survival probability P(t)= mod ( phi 0 mod phi (t)) mod 2 for an initial complex Gaussian wavepacket phi 0 is calculated for the first time by the Lanczos recursion method combined with the QL algorithm without computing the eigenfunctions of the Hamiltonian. Consequently, for an N*N Hamiltonian matrix the correct dynamical behaviour of the system is obtained by carrying out nN2 numerical operations rather than N3, where n is the number of Lanczos recursions. The authors show that when phi 0 is located in the regular region of the classical phase space the ratio n/N is smaller than in the case when it is located in the chaotic regime. This ratio is reduced as the values of t become smaller.
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