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- Title
Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation.
- Authors
Mousavi, S. V.; Miret-Artés, S.
- 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.
- Subjects
VON Neumann, John, 1903-1957; QUANTUM transitions; NONEQUILIBRIUM statistical mechanics; QUANTUM theory; QUANTUM mechanics; WAVE equation; VON Neumann algebras
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 6, p1184
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15061184