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Geometric Quantum Mechanics is a novel and prospecting approach motivated by the belief that our world is ultimately geometrical.
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K. Huang, Quarks, Leptons & Gauge Fields, 2nd Ed. , World Scientific Pub. (1992)
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For relativisitc quantum mechanic, the geometrical reformulation is still absent today. This is partly due to the replacement of particles by field quanta, but quantum field theory already plays the role of a geometrical theory
Cited in the paper.
R. Cheng and Q. Niu, unpublished
Cited in the paper.
D. C. Brody and L. P. Hughston, J. Geom. Phys. 38
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L. C. Venuti and P. Zanardi, Phys. Rev. Lett. 99
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S. Matsuura and S. Ryu, Phys. Rev. B 82
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Y.-Q. Ma et al . Phys. Rev. B 81
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