Expanding the set of stable, accurate, and scalable methods for simulating molecular quantum dynamics is important for accelerating the computational exploration of molecular processes. In this paper, we adapt the signed particles Monte Carlo algorithm for solving the transient Wigner equation to scenarios of chemical interest. This approach was used in the past to study electronic processes in semi-conductors, but to the best of our knowledge, it had never been applied to molecular modeling. We present the algorithm and demonstrate its excellent performance on harmonic and double well potentials for electronic and nuclear systems. We explore the stability of the algorithm, discuss the choice of hyper-parameters, and cautiously speculate that it may be used in quantum molecular dynamics simulations.
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21 July 2021
Research Article|
July 16 2021
Solving the Wigner equation with signed particle Monte Carlo for chemically relevant potentials
Yu Wang;
Yu Wang
Department of Chemistry, McGill University
, 801 Sherbrooke Street W, Montreal, Quebec H3A 0B8, Canada
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Lena Simine
Lena Simine
a)
Department of Chemistry, McGill University
, 801 Sherbrooke Street W, Montreal, Quebec H3A 0B8, Canada
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
a)Author to whom correspondence should be addressed: [email protected]
J. Chem. Phys. 155, 034109 (2021)
Article history
Received:
April 30 2021
Accepted:
June 28 2021
Citation
Yu Wang, Lena Simine; Solving the Wigner equation with signed particle Monte Carlo for chemically relevant potentials. J. Chem. Phys. 21 July 2021; 155 (3): 034109. https://doi.org/10.1063/5.0055603
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