Coherent state based solutions of the time-dependent Schrödinger equation: hierarchy of approximations to the variational principle

M Werther, SL Choudhury… - International Reviews in …, 2021 - Taylor & Francis
In this review, we give a comprehensive comparison of the most widely used coherent state
(CS) based methods to solve the time-dependent Schrödinger equation (TDSE). Starting …

Classical dynamics of chemical reactions in a quantum spirit

L Bonnet - International Reviews in Physical Chemistry, 2013 - Taylor & Francis
Molecular beam experiments provide fascinating data on how atoms move in the course of
chemical reactions. In order to theoretically reproduce these data at relatively low …

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 …

Spiers memorial lecture quantum and semiclassical theory of chemical reaction rates

WH Miller - Faraday Discussions, 1998 - pubs.rsc.org
Transition state theory (TST) has provided the qualitative picture of chemical reaction rates
for over sixty years. Recent theoretical developments, however, have made it possible to …

Generalized forward–backward initial value representation for the calculation of correlation functions in complex systems

M Thoss, H Wang, WH Miller - The Journal of Chemical Physics, 2001 - pubs.aip.org
The capability of two different, recently proposed semiclassical SC forward–backward FB
initial value representations IVR to describe quantum interference and coherence effects is …

Multidimensional quantum propagation with the help of coupled coherent states

DV Shalashilin, MS Child - The Journal of Chemical Physics, 2001 - pubs.aip.org
A previous initial value coupled coherent state (CCS) representation is applied to Gaussian
wave packet propagation on multidimensional Henon Heiles potentials. Solutions of the time …

Semiclassical description of quantum coherence effects and their quenching: A forward–backward initial value representation study

H Wang, M Thoss, KL Sorge, R Gelabert… - The Journal of …, 2001 - pubs.aip.org
The forward–backward (FB) version of the semiclassical (SC) initial value representation
(IVR) is used to study quantum coherence effects in the time-dependent probability …

Forward–backward initial value representation for the calculation of thermal rate constants for reactions in complex molecular systems

H Wang, M Thoss, WH Miller - The Journal of Chemical Physics, 2000 - pubs.aip.org
The semiclassical (SC) initial value representation (IVR) provides a potentially practical way
for including quantum effects into classical molecular dynamics simulations. The forward …

Molecular collision dynamics on several electronic states

TJ Martínez, M Ben-Nun, RD Levine - The Journal of Physical …, 1997 - ACS Publications
A time-dependent quantum mechanical method for propagating the wave function on
several electronic states is discussed for the polyatomic case and illustrated by the …

Generalized Filinov transformation of the semiclassical initial value representation

H Wang, DE Manolopoulos, WH Miller - The Journal of Chemical …, 2001 - pubs.aip.org
An efficient method is proposed for the practical solution of the ''sign''problem for integrals
involved in the semiclassical initial value representation. It is based on a generalization of …