Path-integral approximations to quantum dynamics

SC Althorpe - The European Physical Journal B, 2021 - Springer
Imaginary-time path-integral or 'ring-polymer'methods have been used to simulate quantum
(Boltzmann) statistical properties since the 1980s. This article reviews the more recent …

Nonadiabatic Field on Quantum Phase Space: A Century after Ehrenfest

B Wu, X He, J Liu - The Journal of Physical Chemistry Letters, 2024 - ACS Publications
Nonadiabatic transition dynamics lies at the core of many electron/hole transfer,
photoactivated, and vacuum field-coupled processes. About a century after Ehrenfest …

[PDF][PDF] Amber 10

DA Case, TA Darden, TE Cheatham, CL Simmerling… - 2008 - infoscience.epfl.ch
Amber is the collective name for a suite of programs that allow users to carry out molecular
dynamics simulations, particularly on biomolecules. None of the individual programs carries …

Ring-polymer molecular dynamics rate-theory in the deep-tunneling regime: Connection with semiclassical instanton theory

JO Richardson, SC Althorpe - The Journal of chemical physics, 2009 - pubs.aip.org
We demonstrate that the ring-polymer molecular dynamics (RPMD) method is equivalent to
an automated and approximate implementation of the “Im F” version of semiclassical …

Boltzmann-conserving classical dynamics in quantum time-correlation functions:“Matsubara dynamics”

TJH Hele, MJ Willatt, A Muolo… - The Journal of Chemical …, 2015 - pubs.aip.org
We show that a single change in the derivation of the linearized semiclassical-initial value
representation (LSC-IVR or “classical Wigner approximation”) results in a classical dynamics …

Perspective: Quantum or classical coherence?

WH Miller - The Journal of chemical physics, 2012 - pubs.aip.org
Some coherence effects in chemical dynamics are described correctly by classical
mechanics, while others only appear in a quantum treatment—and when these are …

Zero point energy leakage in condensed phase dynamics: An assessment of quantum simulation methods for liquid water

S Habershon, DE Manolopoulos - The Journal of chemical physics, 2009 - pubs.aip.org
The approximate quantum mechanical ring polymer molecular dynamics (RPMD) and
linearized semiclassical initial value representation (LSC-IVR) methods are compared and …

New phase space formulations and quantum dynamics approaches

X He, B Wu, Y Shang, B Li, X Cheng… - Wiley Interdisciplinary …, 2022 - Wiley Online Library
We report recent progress on the phase space formulation of quantum mechanics with
coordinate‐momentum variables, focusing more on new theory of (weighted) constraint …

Derivation of a true (t→ 0+) quantum transition-state theory. I. Uniqueness and equivalence to ring-polymer molecular dynamics transition-state-theory

TJH Hele, SC Althorpe - The Journal of chemical physics, 2013 - pubs.aip.org
Surprisingly, there exists a quantum flux-side time-correlation function which has a non-zero
t→ 0+ limit and thus yields a rigorous quantum generalization of classical transition-state …

Ring-polymer instanton method for calculating tunneling splittings

JO Richardson, SC Althorpe - The Journal of chemical physics, 2011 - pubs.aip.org
The semiclassical instanton expression for the tunneling splitting between two symmetric
wells is rederived, starting from the ring-polymer representation of the quantum partition …