期刊
JOURNAL OF CHEMICAL PHYSICS
卷 151, 期 7, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.5116210
关键词
-
资金
- National Science Foundation [CHE-1764365]
- David and Lucille Packard Fellowship
Although the quantum classical Liouville equation (QCLE) arises by cutting off the exact equation of motion for a coupled nuclear-electronic system at order 1 (1 = (0)), we show that the QCLE does include Berry's phase effects and Berry's forces (which are proportional to a higher order, = (1)). Thus, the fundamental equation underlying mixed quantum-classical dynamics does not need a correction for Berry's phase effects and is valid for the case of complex (i.e., not just real) Hamiltonians, where exotic features can arise in the course of electronic relaxation. Furthermore, we also show that, even though Tully's surface hopping model ignores Berry's phase, Berry's phase effects are included automatically within Ehrenfest dynamics. These findings should be of great importance if we seek to model coupled nuclear-electronic dynamics for systems with odd numbers of electrons and spin-orbit coupling, where the complex nature of the Hamiltonian is paramount.
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