论文标题

经典力学中运营商形式主义的NAMBU支架的量化

Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics

论文作者

Katagiri, So

论文摘要

本文提出了一种使用操作员形式主义在经典力学中量化NAMBU支架的新方法。该方法采用``普朗克衍生品''代表nambu支架,从中我们得出了其量化的换向关系。值得注意的是,这种换向关系与扭曲的圆环中闭合字符串的t偶对齐的伴随,并暗示了与双场理论的潜在联系。

This paper proposes a novel approach to quantizing Nambu brackets in classical mechanics using operator formalism. The approach employs the ``Planck derivative'' to represent Nambu brackets, from which we derive a commutation relation for their quantization. Notably, this commutation relation aligns with that emerging from the T-duality of closed strings in a twisted torus with a B-field, thereby hinting at a potential connection with Double Field Theory.

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