Long-time and unitary properties of semiclassical initial value representations

Details Long-time and unitary properties of semiclassical initial value representations Long-time and unitary properties of semiclassical initial value representations

2003-09-10

arxiv.org/abs/quant-ph/0309086v2

J. Chem. Phys., Vol. 120, No. 1, 1 January 2004

Physics

Quantum Physics

14 pages, 4 figures, corrected typos and figure 1 (d)

Scientific paper

10.1063/1.1630033

We numerically compare the semiclassical ``frozen Gaussian'' Herman-Kluk propagator [Chem. Phys. 91, 27 (1984)] and the ``thawed Gaussian'' propagator put forward recently by Baranger et al. [J. Phys. A 34, 7227 (2001)] by studying the quantum dynamics in some nonlinear one-dimensional potentials. The reasons for the lack of long time accuracy and norm conservation in the latter method are uncovered. We amend the thawed Gaussian propagator with a global harmonic approximation for the stability of the trajectories and demonstrate that this revised propagator is a true alternative to the Herman-Kluk propagator with similar accuracy.

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