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 …

An approach for generating trajectory-based dynamics which conserves the canonical distribution in the phase space formulation of quantum mechanics. II. Thermal …

J Liu, WH Miller - The Journal of chemical physics, 2011‏ - pubs.aip.org
We show the exact expression of the quantum mechanical time correlation function in the
phase space formulation of quantum mechanics. The trajectory-based dynamics that …

Classical and nonclassical effects in surface hop** methodology for simulating coupled electronic-nuclear dynamics

CC Martens - Faraday Discussions, 2020‏ - pubs.rsc.org
In this paper, we analyze the detailed quantum-classical behavior of two alternative
approaches to simulating molecular dynamics with electronic transitions: the popular fewest …

Entangled trajectory molecular dynamics in multidimensional systems: Two-dimensional quantum tunneling through the Eckart barrier

L Wang, CC Martens, Y Zheng - The Journal of chemical physics, 2012‏ - pubs.aip.org
In this paper, we extend the entangled trajectory molecular dynamics (ETMD) method to
multidimensional systems. The integrodifferential form of the evolution equation for the …

Two more approaches for generating trajectory-based dynamics which conserves the canonical distribution in the phase space formulation of quantum mechanics

J Liu - The Journal of chemical physics, 2011‏ - pubs.aip.org
We show two more approaches for generating trajectory-based dynamics in the phase
space formulation of quantum mechanics:“equilibrium continuity dynamics”(ECD) in the …

Nonadiabatic dynamics in the semiclassical Liouville representation: Locality, transformation theory, and the energy budget

CC Martens - Chemical Physics, 2016‏ - Elsevier
In this paper, we revisit the semiclassical Liouville approach to describing molecular
dynamics with electronic transitions using classical trajectories. Key features of the …

[HTML][HTML] Communication: Fully coherent quantum state hop**

CC Martens - The Journal of Chemical Physics, 2015‏ - pubs.aip.org
In this paper, we describe a new and fully coherent stochastic surface hop** method for
simulating mixed quantum-classical systems. We illustrate the approach on the simple but …

Complex-valued derivative propagation method with approximate Bohmian trajectories for quantum barrier scattering

CC Chou - Chemical Physics, 2015‏ - Elsevier
Abstract The complex quantum Hamilton–Jacobi equation for the complex action is
approximately solved by propagating individual Bohmian trajectories in real space …

H2O photodissociation in the first absorption band: Entangled trajectory molecular dynamics method

F Xu, L Wang, CC Martens, Y Zheng - The Journal of Chemical Physics, 2013‏ - pubs.aip.org
H 2 O photodissociation in its first absorption band using entangled trajectory molecular
dynamics method. We compare our results of entangled trajectories with exact quantum …

Toward a quantum trajectory-based rate theory

BL Hyland, CC Martens - Theoretical Chemistry Accounts, 2014‏ - Springer
We describe a new approach to incorporating quantum effects into chemical reaction rate
theory using quantum trajectories. Our development is based on the entangled trajectory …