An Obstruction to Quantization of the Sphere

Abstract

In the standard example of strict deformation quantization of the symplectic sphere S, the set of allowed values of the quantization parameter h̄ is not connected. Li recently constructed a class of examples (including S) in which h̄ can take any value in an interval, but these examples are badly behaved. Here, I identify a natural additional axiom for strict deformation quantization and prove that it implies that the parameter set for quantizing S is never connected.

Cite this paper

@inproceedings{Hawkins2008AnOT, title={An Obstruction to Quantization of the Sphere}, author={Eli Hawkins}, year={2008} }