Interacting classical and quantum ensembles

@article{Hall2005InteractingCA,
  title={Interacting classical and quantum ensembles},
  author={Michael J. W. Hall and Marcel Reginatto},
  journal={Physical Review A},
  year={2005},
  volume={72},
  pages={062109}
}
A consistent description of interactions between classical and quantum systems is relevant to quantum measurement theory and to calculations in quantum chemistry and quantum gravity. A solution is offered here to this long-standing problem, based on a universally applicable formalism for ensembles on configuration space. This approach overcomes difficulties arising in previous attempts and in particular allows for a back reaction on the classical ensemble, conservation of probability and energy… 

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