An introduction to the problem of bridging quantum and classical dynamics
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Due to the Heisenberg uncertainty principle, various classical systems differing only on the scale smaller than Planck's cell correspond to the same quantum system. We use this fact to find a unique semiclassical representation without the Van Vleck determ ...
We examine the correspondence between a quantum system and its classical analogue. We consider the wedge billiard which shows a wide variety of behaviors ranging from integrable to strongly chaotic. Angle-action coordinates are provided for the flow and fo ...
A mixed quantum-classical method aimed at the study of nonadiabatic dynamics in the presence of external electromagnetic fields is developed within the framework of time-dependent density functional theory. To this end, we use a trajectory-based descriptio ...
Starting from the quantum statistical master equation derived in [1] we show how the connection to the semi-classical Boltzmann equation (SCBE) can be established and how irreversibility is related to the problem of separability of quantum mechanics. Our p ...
We present a fully Hamiltonian and computationally efficient scheme to include the electrostatic effects due to the classical environment in a Car-Parrinello mixed quantum mechanics/mol. mechanics (QM/MM) method. The polarization due to the MM atoms close ...
The system of one or several quantum wells embedded in a planar semiconductor Fabry-Perot microcavity with distributed Bragg reflectors is studied in the framework of both a semiclassical and a full quantum theory. The results obtained with the two treatme ...
