2024/02/21 by Frank Großmann, Grossmann, Frank
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.2402.13847
openalex publication_date 2024/02/21 · openalex created_date 2024/02/23 · openalex updated_date 2026/07/28
Numerical solutions of the time-dependent Schrödinger 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.