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arXiv · 2402.13847

Coupled coherent states method for tunneling dynamics: an interpretative study

Frank Grossmann
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Abstract

Numerical solutions of the time-dependent Schr\"odinger equation based on the variational principle may offer physical insight that cannot be gained by a solution using fixed grids in position and momentum space. Here we focus on the tunneling dynamics in a quartic double-well and the use of classical, trajectory-guided coherent states to gain insight into the workings of the coupled coherent states method developed by Shalashilin and Child [J. Chem. Phys. {\bf 113}, 10028 (2000)]. It is shown that over-the-barrier classical trajectories, alone, can accurately describe the tunneling effect.

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Frank Grossmann. 2024-02-21. Coupled coherent states method for tunneling dynamics: an interpretative study. https://arxiv.org/abs/2402.13847

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