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A new mathematical framework is formulated to derive the effective equations of motion for the constrained quantum system which possesses an internal clock.
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C. Rovelli, “Quantum evolving constants: Reply to comment on ‘Time in quantum gravity: An Hypothesis.’,” Phys. Rev. D 44
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D. Marolf and C. Rovelli, “Relativistic quantum measurement,” Phys. Rev. D 66
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A. Ashtekar, T. Pawlowski and P. Singh, “Quantum nature of the big bang,” Phys. Rev. Lett. 96
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A. Ashtekar, T. Pawlowski and P. Singh, “Quantum nature of the big bang: An analytical and numerical investigation I,” Phys. Rev. D 73
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A. Ashtekar, T. Pawlowski and P. Singh, “Quantum nature of the big bang: Improved dynamics,” Phys. Rev. D 74
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M. Bojowald and A. Skirzewski, “Effective equations of motion for quantum systems,” Rev. Math. Phys. 18
2006
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M. Bojowald, H. H. Hernandez, M. Kagan, P. Singh and A. Skirzewski, “Hamiltonian cosmological perturbation theory with loop quantum gravity corrections,” Phys. Rev. D 74
2006
Cited alongside, same era.
A. Ashtekar, T. Pawlowski, P. Singh and K. Vandersloot, “Loop quantum cosmology of k = 1 FRW models,” Phys. Rev. D 75
2007
Cited alongside, same era.
K. Vandersloot, “Loop quantum cosmology and the k = -1 RW model,” Phys. Rev. D 75
2007
Cited alongside, same era.
D. W. Chiou, “Loop quantum cosmology in Bianchi I models: Analytical investigation,” Phys. Rev. D 75
2007
Cited alongside, same era.
2007
Cited alongside, same era.
M. Bojowald, “Large scale effective theory for cosmological bounces,” Phys. Rev. D 74
2007
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2008
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A. Corichi and P. Singh, “Quantum bounce and cosmic recall,” Phys. Rev. Lett. 100
2008
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2008
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2008
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2007
Cited alongside, same era.
M. Bojowald and A. Skirzewski, “Quantum gravity and higher curvature actions,” eConf C0602061
2007
Cited alongside, same era.
Cited in the paper.
D. W. Chiou, “Effective dynamics for the cosmological bounces in Bianchi type I loop quantum cosmology,” arXiv:gr-qc/0703010
Cited in the paper.
Cited in the paper.
D. Marolf, “Group averaging and refined algebraic quantization: Where are we now?,” arXiv:gr-qc/0011112
Cited in the paper.
D. Marolf, “Refined algebraic quantization: Systems with a single constraint,” arXiv:gr-qc/9508015
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