Quantizer–dequantizer operators as a tool for formulating the quantization procedure

Эндаумент фонд ТГУ!
Впиши своё имя в историю университета
- Сделать пожертвование -

Add to "Quick Collection"

Description	Size	Format
Quantizer–dequantizer operators as a tool for formulating the quantization procedure	538 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.1016/j.physleta.2020.126349

Title: Quantizer–dequantizer operators as a tool for formulating the quantization procedure
Creator: Andreev, Vladimir A.
|
Manko, Margarita A.
|
Manko, Vladimir I.
Date: 2020
DOI: 10.1016/j.physleta.2020.126349
Description: 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.