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We formulate quantum mechanics on SO(3) using a non-commutative dual space representation for the quantum states, inspired by recent work in quantum gravity.
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Gaetano Vilasi, Hamiltonian Dynamics , World Scientific, Singapore, 2001
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A. Alekseev, A.P. Polychronakos, M. Smedbäck, On area and entropy of a black hole , Phys. Lett. B574
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Laurent Freidel, Etera R. Livine, 3D Quantum Gravity and Effective Noncommutative Quantum Field Theory , Phys. Rev. Lett. 96
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2009
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Daniele Oriti, The group field theory approach to quantum gravity , in Approaches to Quantum Gravity , D. Oriti (ed.), Cambridge University Press, Cambridge, 2009, arXiv:gr-qc/0607032
2009
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2009
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2010
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2011
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Daniele Oriti, The microscopic dynamics of quantum space as a group field theory , in Foundations of space and time , G. Ellis, J. Murugan (eds.), Cambridge University Press, Cambridge, 2011
2011
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