Coupled coherent states method for tunneling dynamics: an interpretative study

• URL: http://arxiv.org/abs/2402.13847v1
• Date: Wed, 21 Feb 2024 14:44:16 GMT
• Title: Coupled coherent states method for tunneling dynamics: an interpretative study
• Authors: Frank Grossmann
• Abstract summary: We focus on the tunneling dynamics in a quartic double-well and the use of classical, trajectory-guided coherent states. It is shown that over-the-barrier classical trajectories, alone, can accurately describe the tunneling effect.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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