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Koopman wavefunctions and classical–quantum correlation dynamics
2019
Proceedings of the Royal Society A
Upon revisiting the Hamiltonian structure of classical wavefunctions in Koopman-von Neumann theory, this paper addresses the long-standing problem of formulating a dynamical theory of classical-quantum coupling. The proposed model not only describes the influence of a classical system onto a quantum one, but also the reverse effect-the quantum backreaction. These interactions are described by a new Hamiltonian wave equation overcoming shortcomings of currently employed models. For example, the
doi:10.1098/rspa.2018.0879
pmid:31611710
pmcid:PMC6784396
fatcat:k3qyeoweovfjfo7t76t55xeb7e