Progress in the theory of mixed quantum-classical dynamics

R Kapral - Annu. Rev. Phys. Chem., 2006 - annualreviews.org
▪ Abstract Quantum-classical Liouville dynamics can be used to study the properties of open
quantum systems that are coupled to bath or environmental degrees of freedom whose …

Quantum dynamics in open quantum-classical systems

R Kapral - Journal of Physics: Condensed Matter, 2015 - iopscience.iop.org
Often quantum systems are not isolated and interactions with their environments must be
taken into account. In such open quantum systems these environmental interactions can …

The semiclassical initial value representation: A potentially practical way for adding quantum effects to classical molecular dynamics simulations

WH Miller - The Journal of Physical Chemistry A, 2001 - ACS Publications
The semiclassical (SC) initial value representation (IVR) provides a potentially practical way
for adding quantum mechanical effects to classical molecular dynamics (MD) simulations of …

An accurate and simple quantum model for liquid water

F Paesani, W Zhang, DA Case, TE Cheatham… - The Journal of …, 2006 - pubs.aip.org
The path-integral molecular dynamics and centroid molecular dynamics methods have been
applied to investigate the behavior of liquid water at ambient conditions starting from a …

A new approach to calculating the memory kernel of the generalized quantum master equation for an arbitrary system–bath coupling

Q Shi, E Geva - The Journal of chemical physics, 2003 - pubs.aip.org
The Nakajima–Zwanzig generalized quantum master equation provides a general, and
formally exact, prescription for simulating the reduced dynamics of a quantum system …

Time-dependent quantum methods for large systems

N Makri - Annual review of physical chemistry, 1999 - annualreviews.org
▪ Abstract This review focuses on time-dependent methods suitable for simulating the
quantum dynamics of processes in large clusters and condensed-phase environments. A …

Quantum-classical Liouville dynamics in the map** basis

H Kim, A Nassimi, R Kapral - The Journal of chemical physics, 2008 - pubs.aip.org
The quantum-classical Liouville equation describes the dynamics of a quantum subsystem
coupled to a classical environment. It has been simulated using various methods, notably …

A road map to various pathways for calculating the memory kernel of the generalized quantum master equation

E Mulvihill, E Geva - The Journal of Physical Chemistry B, 2021 - ACS Publications
The generalized quantum master equation (GQME) provides a powerful framework for
simulating electronic energy, charge, and coherence transfer dynamics in molecular …

A relationship between semiclassical and centroid correlation functions

Q Shi, E Geva - The Journal of chemical physics, 2003 - pubs.aip.org
A general relationship is established between semiclassical and centroid-based methods for
calculating real-time quantum-mechanical correlation functions. It is first shown that the …

Nonadiabatic dynamics in open quantum-classical systems: Forward-backward trajectory solution

CY Hsieh, R Kapral - The Journal of chemical physics, 2012 - pubs.aip.org
A new approximate solution to the quantum-classical Liouville equation is derived starting
from the formal solution of this equation in forward-backward form. The time evolution of a …