Semiclassical Theory of Wavepacket Propagation: the Coulomb Potential.

F. Nicacio, Alfredo Ozorio de Almeida, K. Dechoum +1 more

I. M. Suarez Barnes

Eric J. Heller

Paul Houle, Chris Henley

I. M. Suarez Barnes, Michael Nauenberg, Mark Douglas Nockleby +1 more

A simple and elegant semiclassical theory for propagating wavepackets is presented. The development of the theory avoids the explicit use of the Green-function formalism. It involves expanding the potential to a quadratic time-dependent form and the use of multiple reference trajectories. The classical analogue in phase space predicts the accuracy of the results. The theory is applied to the calculation of the autocorrelation function in a Coulomb field in one dimension. Remarkable agreement with an exact quantum calculation is obtained in many circumstances in spite of the Coulomb singularity. All the detailed quantum behaviour, including the long-time recurrences and the spectrum, is reproduced.

Ue‐Li Pen, Tsin-Fu Jiang

We develop a finite dimensional matrix method to treat wavepacket propagation in potential scattering problems. The method is useful for general quantum mechanical problems. The scattering dynamics of a minimum uncertainty wavepacket in the Coulomb potential is presented.