Research output: Contribution to journal › Article › peer-review

Journal | Communications in Mathematical Physics |
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Date | Published - Nov 2008 |

Issue number | 3 |

Volume | 283 |

Number of pages | 25 |

Pages (from-to) | 675-699 |

Original language | English |

In the standard example of strict deformation quantization of the symplectic sphere S2, the set of allowed values of the quantization parameter h is not connected; indeed, it is almost discrete. Li recently constructed a class of examples (including S2) in which h 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 S2 is never connected.

- Mathematical Physics

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