An automated integration-free path-integral method based on Kleinert's variational perturbation theory

Kin Yiu Wong, Jiali Gao

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

Based on Kleinert's variational perturbation (KP) theory [Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 3rd ed. (World Scientific, Singapore, 2004)], we present an analytic path-integral approach for computing the effective centroid potential. The approach enables the KP theory to be applied to any realistic systems beyond the first-order perturbation (i.e., the original Feynman-Kleinert [Phys. Rev. A 34, 5080 (1986)] variational method). Accurate values are obtained for several systems in which exact quantum results are known. Furthermore, the computed kinetic isotope effects for a series of proton transfer reactions, in which the potential energy surfaces are evaluated by density-functional theory, are in good accordance with experiments. We hope that our method could be used by non-path-integral experts or experimentalists as a "black box" for any given system.

Original languageEnglish (US)
Article number211103
JournalJournal of Chemical Physics
Volume127
Issue number21
DOIs
StatePublished - Dec 14 2007

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