Abstract
This is a short report on our recent study1 of extended phase spaces for spinning particles. We emphasize the intriguing noncommutativity of space-time, arising by passing from canonical to ‘covariant’ position variables in our model.
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References
S. Zakrzewski, Extended phase space for a spinning particle, preprint, Warsaw 199
J.-M. Souriau, “Structure des Systèmes Dynamiques”, Dunod, Paris (1970)
S. Zakrzewski, Quantum and classical pseudogroups, Commun. Math. Phys. 134: 347–395 (1990)
P. Xu, Classical intertwiner space and quantization, Commun. Math. Phys. 164: 473–488 (1994)
A. Weinstein, Poisson geometry of the principal series and nonlinearizable structures, J. Diff. Geom. 25: 55–73 (1987)
A.J. Hanson and T. Regge, The relativistic spherical top, Ann. Physics (NY) 87: 498–566 (1974)
C. Duval and J. Elhadad, Geometric quantization and localization of relativistic spin systems, Contemp. Math. 132: 317–330 (1992)
C. Duval, private communication.
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© 1995 Springer Science+Business Media New York
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Zakrzewski, S. (1995). Noncommutative Space-Time Implied by Spin. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization, Coherent States, and Complex Structures. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1060-8_28
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DOI: https://doi.org/10.1007/978-1-4899-1060-8_28
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1062-2
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