In the following we list a full publication list of the generalized coordinate-momentum phase space (CPS) formulations of quantum mechanics for composite systems and the nonadiabatic field (NaF) dynamics.
Readers are also invited to an introduction of our research on our website.
Jian Liu, "A unified theoretical framework for mapping models for the multi-state Hamiltonian", The Journal of Chemical Physics, 145, 204105 (2016).
Jian Liu,"Isomorphism between the multi-state Hamiltonian and the second-quantized many-electron Hamiltonian with only 1-electron interactions", The Journal of Chemical Physics, 146, 024110 (2017).
Xin He, Jian Liu, "A new perspective for nonadiabatic dynamics with phase space mapping models", The Journal of Chemical Physics, 151, 024105 (2019).
Xin He, Zhihao Gong, Baihua Wu, Jian Liu, "Negative Zero-Point-Energy Parameter in the Meyer–Miller Mapping Model for Nonadiabatic Dynamics", The Journal of Physical Chemistry Letters, 12, 10, 2496–2501 (2021).
Xin He, Baihua Wu, Zhihao Gong, Jian Liu, "Commutator Matrix in Phase Space Mapping Models for Nonadiabatic Quantum Dynamics", The Journal of Physical Chemistry A, 125, 31, 6845–6863 (2021).
Jian Liu, Xin He, Baihua Wu, "Unified formulation for phase space mapping models for nonadiabatic quantum dynamics", Accounts of Chemical Research, 54, 23, 4215–4228 (2021).
Xin He, Baihua Wu, Youhao Shang, Bingqi Li, Xiangsong Cheng, Jian Liu, "New Phase Space Formulations and Quantum Dynamics Approaches", Wiley Interdisciplinary Reviews-Computational Molecular Science, e1619 (2022).
Baihua Wu, Xin He, Jian Liu, "Nonadiabatic Field on Quantum Phase Space: A Century after Ehrenfest", The Journal of Physical Chemistry Letters, 15, 2, 644-658 (2024).
Xiangsong Cheng, Xin He, Jian Liu, "A Novel Class of Phase Space Representations for the Exact Population Dynamics of Two-State Quantum Systems and the Relation to Triangle Window Functions", Chinese Journal of Chemical Physics, 37, 230-254 (2024).
Xin He, Xiangsong Cheng, Baihua Wu, Jian Liu, "Nonadiabatic Field with Triangle Window Functions on Quantum Phase Space", The Journal of Physical Chemistry Letters, 15, 20, 5452-5466 (2024).
Youhao Shang, Xiangsong Cheng, Jian Liu, "Constraint Phase Space Formulations for Finite-State Quantum Systems: The Relation between Commutator Variables and Complex Stiefel Manifolds", Fundamental Research (ASAP).
Baihua Wu, Bingqi Li, Xin He, Xiangsong Cheng, Jiajun Ren, Jian Liu, "Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics", Journal of Chemical Theory and Computation, 21, 8, 3775-3813 (2025).