@article{oai:kanazawa-u.repo.nii.ac.jp:00010894,
 author = {河津 , 励 and 三浦, 伸一 and Kawatsu, Tsutomu and Miura, Shinichi},
 issue = {1},
 journal = {Journal of Physics: Conference Series},
 month = {Jan},
 note = {In the present paper, a numerical method for a semi-classical instanton method was examined. We implemented the instanton approach using discretized path integrals. The computational accuracy of the method is controlled by the following two parameters: the imaginary time duration (τ) and the time increment (Δτ), which represents the discretized path integral. To obtain accurate results, a long τ must be used in combination with a short Δτ; however, because the computational cost is virtually proportional to τ/Δτ, the instanton calculations were computationally expensive under these conditions. In the present study, we propose a method that reduces the computational cost and represents long τ instanton trajectories by employing an extended instanton trajectory from calculations based on a short τ. We applied the method to calculate tunnel splitting in a HO2 hydrogen transfer reaction using the double many-body extension IV potential as a validation.},
 title = {An efficient computational method for the implementation of a semi-classical instanton approach using discretized path integrals},
 volume = {454},
 year = {2013}
}