论文标题
Landau-hall州和基质代数的Berezin-toeplitz量化
Landau-Hall States and Berezin-Toeplitz Quantization of Matrix Algebras
论文作者
论文摘要
我们认为,Landau-hall国家提供了一个合适的框架,用于制定Kähler相空间上经典功能的Berezin-toeplitz量化。我们在此框架中得出了此类功能的星星产物,并将Berezin-Toeplitz量化推广到矩阵值的经典函数。我们还评论这与霍尔系统有效动作的不同计算有何关系。
We argue that the Landau-Hall states provide a suitable framework for formulating the Berezin-Toeplitz quantization of classical functions on a Kähler phase space. We derive the star-products for such functions in this framework and generalize the Berezin-Toeplitz quantization to matrix-valued classical functions. We also comment on how this is related to different calculations of the effective action for Hall systems.