Tunneling in two-dimensional systems using a higher-order Herman-Kluk approximation

Gili Hochman, Kenneth G. Kay

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11 Scopus citations


A principal weakness of the Herman-Kluk (HK) semiclassical approximation is its failure to provide a reliably accurate description of tunneling between different classically allowed regions. It was previously shown that semiclassical corrections significantly improve the HK treatment of tunneling for the particular case of the one-dimensional Eckart system. Calculations presented here demonstrate that the lowest-order correction also substantially improves the HK description of tunneling across barriers in two-dimensional systems. Numerical convergence issues either do not arise or are easily overcome, so that the calculations require only a moderate number of ordinary, real, classical trajectories.

Original languageEnglish
Article number061104
JournalJournal of Chemical Physics
Issue number6
StatePublished - 2009

Bibliographical note

Funding Information:
This work was funded by the Israel Science Foundation.


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