Landau-Hall States and Berezin-Toeplitz Quantization of Matrix Algebras
High Energy Physics - Theory
2020-07-22 v1 Other Condensed Matter
Mathematical Physics
math.MP
Abstract
We argue that the Landau-Hall states provide a suitable framework for formulating the Berezin-Toeplitz quantization of classical functions on a K\"ahler 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.
Keywords
Cite
@article{arxiv.2001.05040,
title = {Landau-Hall States and Berezin-Toeplitz Quantization of Matrix Algebras},
author = {V. P. Nair},
journal= {arXiv preprint arXiv:2001.05040},
year = {2020}
}
Comments
16 pages