PreprintarXiv licencearXiv
Augmented Star Products and their Applications
Abstract
In this paper, we introduce a generalized framework for star products that preserve associativity while not necessarily obeying the canonical commutation relations. Within this framework, we formulate the augmented star product and investigate the associated augmented star exponentials. We further demonstrate several applications of these constructions to special functions and to problems arising in quantum physics.
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BibTeX
@misc{miyazaki2026augmented,
title = {{Augmented Star Products and their Applications}},
author = {Naoya Miyazaki},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28220},
eprint = {2608.28220},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28220},
}
RIS
TY - UNPB
TI - Augmented Star Products and their Applications
AU - Naoya Miyazaki
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28220
UR - https://arxiv.org/abs/2608.28220
AB - In this paper, we introduce a generalized framework for star products that preserve associativity while not necessarily obeying the canonical commutation relations. Within this framework, we formulate the augmented star product and investigate the associated augmented star exponentials. We further demonstrate several applications of these constructions to special functions and to problems arising in quantum physics.
ER -