Strange Phenomena Related to Ordering Problems in Quantizations
Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 481-510
We introduce an object which in a sense extends the notion of a covering space. Such an object is required to understand the "group" generated by the exponential functions of quadratic forms in the Weyl algebra, and gives in some sense a complexification of the metaplectic group.
DOI:
10.5802/jolt.316
Classification:
53D50, 17B37, 81R50, 81S05
Keywords: quantization, ordering problem, Weyl algebras
Keywords: quantization, ordering problem, Weyl algebras
@article{JOLT_2003_13_2_a10,
author = {H. Omori and Y. Maeda and N. Miyazaki and A. Yoshioka},
title = {Strange {Phenomena} {Related} to {Ordering} {Problems} in {Quantizations}},
journal = {Journal of Lie Theory},
pages = {481--510},
year = {2003},
volume = {13},
number = {2},
doi = {10.5802/jolt.316},
zbl = {1046.53057},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.316/}
}
TY - JOUR AU - H. Omori AU - Y. Maeda AU - N. Miyazaki AU - A. Yoshioka TI - Strange Phenomena Related to Ordering Problems in Quantizations JO - Journal of Lie Theory PY - 2003 SP - 481 EP - 510 VL - 13 IS - 2 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.316/ DO - 10.5802/jolt.316 ID - JOLT_2003_13_2_a10 ER -
H. Omori; Y. Maeda; N. Miyazaki; A. Yoshioka. Strange Phenomena Related to Ordering Problems in Quantizations. Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 481-510. doi: 10.5802/jolt.316
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