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Abstract: An adaption of Rieffel's notion of `strict deformation quantization' is applied to a particle moving on an arbitrary Riemannian manifold Q in an external gauge field, that is, a connection on a principal H-bundle P over Q. Hence the Poisson algebra A 0 = C 0 ((T P )=H) is deformed into the C - algebra A = K(L 2 (P )) H of H-invariant compact operators on L 2 (P ), which is isomorphic to K(L 2 (Q))\Omega C (H), involving the group algebra of H. Planck's constant h is a genuine ... (Update)
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BibTeX entry: (Update)
Landsman, N.P.: Strict deformation quantization of a particle in external gravitational and Yang-Mills fields. J.Geom.Phys. 12, 1-40 (1993) http://citeseer.ist.psu.edu/landsman98strict.html More
@article{ landsman98strict,
author = "N. P. Landsman",
title = "Strict quantization of coadjoint orbits",
journal = "Journal of Mathematical Physics",
volume = "39",
number = "12",
pages = "6372--6383",
year = "1998",
url = "citeseer.ist.psu.edu/landsman98strict.html" }
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