Deformation quantization for actions of Rd / Marc A. Rieffel.
This work describes a general construction of a deformation quantization for an Poisson bracket on a manifold which comes from an action of [italic capital]R[superscript italic]d on that manifold. These deformations quantizations are strict, in the sense that the deformed product of any two function...
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Full Text (via ProQuest) |
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| Main Author: | |
| Other title: | Deformation quantization for actions of [italic capital]R[superscript italic]d. |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, RI :
American Mathematical Society,
1993.
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| Series: | Memoirs of the American Mathematical Society ;
no. 506. |
| Subjects: |
Table of Contents:
- Oscillatory integrals
- The deformed product
- Function algebras
- The algebra of bounded operators
- Functoriality for the operator norm
- Norms of deformed deformations
- Smooth vectors, and exactness
- Continuous fields
- Strict deformation quantization
- Old examples
- The quantum Euclidean closed disk and quantum quadrant
- The algebraists quantum plane, and quantum groups.