Including quantum effects in the dynamics of complex (ie, large) molecular systems

WH Miller - The Journal of chemical physics, 2006‏ - pubs.aip.org
The development in the 1950s and 1960s of crossed molecular beam methods for studying
chemical reactions at the single-collision molecular level stimulated the need and desire for …

Quantum dynamics of complex molecular systems

WH Miller - Proceedings of the National Academy of Sciences, 2005‏ - pnas.org
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A derivation of the mixed quantum-classical Liouville equation from the influence functional formalism

Q Shi, E Geva - The Journal of chemical physics, 2004‏ - pubs.aip.org
We show that the mixed quantum-classical Liouville equation is equivalent to linearizing the
forward-backward action in the influence functional. Derivations are provided in terms of …

Surface hop** without momentum jumps: A quantum-trajectory-based approach to nonadiabatic dynamics

CC Martens - The Journal of Physical Chemistry A, 2019‏ - ACS Publications
We describe a new method for simulating nonadiabatic dynamics using stochastic
trajectories. The method, which we call quantum trajectory surface hop** (QTSH), is a …

Simulation of quantum processes using entangled trajectory molecular dynamics

A Donoso, Y Zheng, CC Martens - The Journal of chemical physics, 2003‏ - pubs.aip.org
In this paper, we describe a new method for simulating quantum processes using classical-
like molecular dynamics. The approach is based on solving the quantum Liouville equation …

6 semiclassical bohmian dynamics

S Garashchuk, V Rassolov… - Reviews in computational …, 2011‏ - Wiley Online Library
Quantum mechanics lies at the heart of chemistry. It is impossible to understand the structure
of the Periodic Table, chemical bonding patterns, free energies of chemical reactions …

Moving boundary truncated grid method: Application to activated barrier crossing with the Klein–Kramers and Boltzmann–BGK models

MY Li, CY Lu, CC Chou - Physica A: Statistical Mechanics and its …, 2025‏ - Elsevier
We exploit the moving boundary truncated grid method for the Klein–Kramers and
Boltzmann–BGK kinetic equations to approach the problem of thermally activated barrier …

Quantum trajectories for the dynamics in the exact factorization framework: A proof-of-principle test

F Talotta, F Agostini, G Ciccotti - The Journal of Physical Chemistry …, 2020‏ - ACS Publications
In the framework of the exact factorization of the time-dependent electron–nuclear wave
function, we investigate the possibility of solving the nuclear time-dependent Schrödinger …

Hurst exponent estimation of locally self-similar Gaussian processes using sample quantiles

JF Coeurjolly - 2008‏ - projecteuclid.org
This paper is devoted to the introduction of a new class of consistent estimators of the fractal
dimension of locally self-similar Gaussian processes. These estimators are based on convex …

[PDF][PDF] Estimating Bohm's quantum force using Bayesian statistics

JB Maddox, ER Bittner - The Journal of chemical physics, 2003‏ - researchgate.net
In this paper we develop an approximate methodológy for estimating the multidimensional
quantum density associated with a statistical bundle of de Broglie–Bohm trajectories. The …