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arXiv · 2306.01130

Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation

S. V. Mousavi·S. Miret-Artés
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Abstract

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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S. V. Mousavi, S. Miret-Artés. 2023-06-01. Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation. https://doi.org/10.3390/sym15061184

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