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

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

URL: http://arxiv.org/abs/2306.01130v1
Date: Thu, 1 Jun 2023 20:29:20 GMT
Title: Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation
Authors: S. V. Mousavi and S. Miret-Art\'es
Abstract summary: We propose a smooth transition wave equation from a quantum to classical regime in the framework of von Neumann formalism for ensembles. This led us to develop a scaled statistical theory following the well-known Wigner-Moyal approach of quantum mechanics.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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