Schrodinger Evolution for the Universe: Reparametrization

@article{Gryb2015SchrodingerEF,
  title={Schrodinger Evolution for the Universe: Reparametrization},
  author={Sean B. Gryb and Karim P. Y. Th{\'e}bault},
  journal={Classical and Quantum Gravity},
  year={2015},
  volume={33},
  pages={065004}
}
Starting from a generalized Hamilton-Jacobi formalism, we develop a new framework for constructing observables and their evolution in theories invariant under global time reparametrizations. Our proposal relaxes the usual Dirac prescription for the observables of a totally constrained system (`perennials') and allows one to recover the influential partial and complete observables approach in a particular limit. Difficulties such as the non-unitary evolution of the complete observables in terms… 

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