A research on noncommutative functional identities and their Geometry by deformation quantization

星积是用复矩阵的形式给出的，它是物理学中典型的星积，如MoYAL积的推广。Jacobi theta函数用线性函数的星指数表示，基本恒等式用星乘积表示。作为二次函数星指数的一个应用，我们用星积代数的方法研究了MIC-开普勒问题的谱。

Star products are given by means of complex matrices, which are extension of typical star products in physics such as Moyal products. Jacobi theta functions are expressed by means of star exponential of linear functions, and fundamental identities are given by star product expressions. As an application of star exponentials of quadratic functions, we study the spectrum of MIC-Kepler problem in terms of star product algebra.