Linearization approximations and Liouville quantum-classical dynamics
Linearization approximations and Liouville quantum-classical dynamics
Publication Type:
Journal ArticleSource:
Chemical Physics Letters, Volume 484, Number 4-6, p.399-404 (2010)URL:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-72649090829&doi=10.1016%2fj.cplett.2009.11.056&partnerID=40&md5=335e99f79378e16cbf93686c65944de4Keywords:
Density operators, Freeforms, Large scale systems, Linearization, Linearization approximation, Linearization methods, Liouville equation, Mathematical operators, Quantum subsystems, Quantum-classical, Quantum-classical systems, Time evolutionsAbstract:
We show that linearization methods, commonly used to approximate the evolution of the density operator in mixed quantum-classical systems, can be justified when a small parameter, the ratio of masses of the quantum subsystem and bath, is introduced. The same parameter enters in the derivation of the quantum-classical Liouville equation. Although its original derivation followed from a different formalism, here we show that the basis-free form of the quantum-classical Liouville equation for the density operator can also be obtained by linearization of the exact time evolution of this operator. These results show the equivalence among various quantum-classical schemes. © 2009 Elsevier B.V. All rights reserved.
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