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

Nair, V. P.

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.

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