| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 - USA
[2] Univ Sao Paulo, ICMC USP, BR-13566590 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Physics; v. 55, n. 11 NOV 2014. |
| Web of Science Citations: | 0 |
| Abstract | |
In this note we give an explicit formula for a family of deformation quantizations for the momentum map associated with the cotangent lift of a Lie group action on R-d. This family of deformations is parametrized by the formal G-systems introduced in B. Dherin and I. Mencattini {[}{''}G-systems and deformations of G-actions on R-d,{''} J. Math. Phys. 55, 011702 (2014)] (see also B. Dherin and I. Mencattini {[}{''}Quantization of (volume-preserving) actions on Rd,{''} e-print arXiv:1202.0886]) and allows us to obtain classical invariant Hamiltonians that quantize without anomalies with respect to the quantizations of the action prescribed by the formal G-systems. (C) 2014 AIP Publishing LLC. (AU) | |
| FAPESP's process: | 10/15069-8 - Monoidal geometries |
| Grantee: | Benoit Richard Umbert Dherin |
| Support Opportunities: | Research Grants - Young Investigators Grants |
| FAPESP's process: | 10/19365-0 - Monoidal geometries |
| Grantee: | Benoit Richard Umbert Dherin |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |