Summary
The requirement that physical states be independent of the choice of configuration or momentum representation is regarded as a necessary condition satisfied by physical states of the Universe. This condition is used to rule out unphysical ones from the mathematically general solutions of quantum Hamiltonian constraint equations for the vacuum and non-vacuum closed Robertson-Walker space-times without cosmological constant.
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This project is in part supported by National Natural Science Foundation of China.
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Ding, H.G., Huang, C.G., Liu, Y.Y. et al. Representation transformation in quantum cosmology. Nuovo Cimento B 110, 811–821 (1995). https://doi.org/10.1007/BF02820149
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DOI: https://doi.org/10.1007/BF02820149