Quantizer-dequantizer operators as a tool for formulating the quantization procedure
We consider the quantization procedure and investigate the application of the quantizer-dequantizer method and star-product technique to construct associative products and the associative algebras formed by the quantizer-dequantizer operators and their symbols. The corresponding Lie algebras are als...
| Published in: | Physics letters A Vol. 384, № 17. P. 126349 (1-7) |
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| Main Author: | |
| Other Authors: | , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795376 Перейти в каталог НБ ТГУ |
| Summary: | We consider the quantization procedure and investigate the application of the quantizer-dequantizer method and star-product technique to construct associative products and the associative algebras formed by the quantizer-dequantizer operators and their symbols. The corresponding Lie algebras are also constructed. We study the case where the quantizer-dequantizer operators form a self-dual system and show that the structure constants of the Lie algebras satisfy some identity, in addition to the Jacobi identity. Using tomographic quantizer-dequantizer operators and their symbols, we construct the continuous associative algebra and the corresponding Lie algebra. |
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| Bibliography: | Библиогр.: 52 назв. |
| ISSN: | 0375-9601 |