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- W3100268593 abstract "Surprisingly, there exists a quantum flux-side time-correlation function which has a non-zero short-time (t->0+) limit, and thus yields a rigorous quantum generalization of classical transition-state theory (TST). In this Part I of two articles, we introduce the new time-correlation function, and derive its short-time limit. The new ingredient is a generalized Kubo transform which allows the flux and side dividing surfaces to be the same function of path-integral space. Choosing this common dividing surface to be a single point gives a short-time limit which is identical to an expression introduced on heuristic grounds by Wigner in 1932, but which does not give positive-definite quantum statistics, causing it to fail while still in the shallow-tunnelling regime. Choosing the dividing surface to be invariant to imaginary-time translation gives, uniquely, a short-time limit that gives the correct positive- definite quantum statistics at all temperatures, and which is identical to ring-polymer molecular dynamics (RPMD) TST. We find that the RPMD-TST rate is not a strict upper bound to the exact quantum rate, but a good approximation to one if real-time coherence effects are small. Part II will show that the RPMD-TST rate is equal to the exact quantum rate in the absence of recrossing." @default.
- W3100268593 created "2020-11-23" @default.
- W3100268593 creator A5013747717 @default.
- W3100268593 creator A5062978136 @default.
- W3100268593 date "2013-02-28" @default.
- W3100268593 modified "2023-09-30" @default.
- W3100268593 title "Derivation of a true (<i>t</i>→ 0<sub>+</sub>) quantum transition-state theory. I. Uniqueness and equivalence to ring-polymer molecular dynamics transition-state-theory" @default.
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- W3100268593 doi "https://doi.org/10.1063/1.4792697" @default.
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