Instanton rate theory is used to study tunneling events in a wide range of systems including low-temperature chemical reactions. Despite many successful applications, the method has never been obtained from first principles, relying instead on the "Im F" premise. In this paper, the same expression for the rate of barrier penetration at finite temperature is rederived from quantum scattering theory [W. H. Miller, S. D. Schwartz, and J. W. Tromp, J. Chem. Phys. 79, 4889 (1983)] using a semiclassical Green's function formalism. This justifies the instanton approach and provides a route to deriving the rate of other processes. (C) 2016 AIP Publishing LLC.
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机译：瞬时速率理论用于研究包括低温化学反应在内的各种系统中的隧穿事件。尽管有许多成功的应用，但是该方法从未从第一原理中获得，而是依靠“ Im F”前提。在本文中，从量子散射理论[W． H. Miller，S。D. Schwartz和J.W. Tromp，J。Chem。物理79，4889（1983）]使用半古典格林函数形式主义。这证明了瞬时方法的合理性，并提供了推导其他过程速率的途径。 （C）2016 AIP出版有限责任公司。
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