In this article, we study the possibility of changing a physical degree of freedom of a particle to its quantum spin after quantization is applied. Our approach to do such a survey is increasing the fundamental symmetries of the anyonic particle model with the help of the symplectic formalism of constrained systems. After extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the phase spaces, the number of physical degrees of freedom, canonical structures of both primary and gauged models, and the spin of the anyon, in terms of its energy.

中文翻译：

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改性的非离子粒子及其基本尺度对称性

在本文中，我们研究了应用量化后将粒子的物理自由度更改为其量子自旋的可能性。我们进行这种调查的方法是借助受约束系统的辛形式主义来增加非离子粒子模型的基本对称性。在提取了所有约束的相应泊松结构之后，我们就其能量而言，比较了测量对相空间，物理自由度的数量，主要模型和规范模型的规范结构以及自旋自旋的影响。