Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation
SYMMETRY-BASEL(2023)
摘要
In this work, we proposed a smooth transition wave equation from a quantum to classical regime in the framework of von Neumann formalism for ensembles and then obtained an equivalent scaled equation. This led us to develop a scaled statistical theory following the well-known Wigner-Moyal approach of quantum mechanics. This scaled nonequilibrium statistical mechanics has in it all the ingredients of the classical and quantum theory described in terms of a continuous parameter displaying all the dynamical regimes in between the two extreme cases. Finally, a simple application of our scaled formalism consisting of reflection from a mirror by computing various quantities, including probability density plots, scaled trajectories, and arrival times, was analyzed.
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关键词
Bohmian mechanics,transition wave equation,scaled Liouville-von Neumann equation,scaled trajectories,scaled Wigner-Moyal approach,scaled Wigner distribution function,time reversal symmetry
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