增广星积及其应用
Augmented Star Products and their Applications
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中文总结 AI 辅助
本文提出保结合性的星积广义框架，构建增广星积及增广星指数，将其应用于特殊函数与量子物理相关问题。
中文摘要 AI 辅助
本文介绍了一种保结合性但不一定满足正则对易关系的星积广义框架，在此框架内构建了增广星积并研究相关的增广星指数，还展示了这些构造在特殊函数及量子物理相关问题中的若干应用。
英文摘要
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.
