While searching for materials related to quantization, I came across a series of articles titled An Informal Discussion on Geometric Quantization. Further investigation revealed that the author is "Monsoon," and the articles were originally published on the Fanxing Inn (by the way, Fanxing Inn was one of the earliest theoretical physics forums; although it no longer allows new posts, many of the materials on it are extremely precious). It is said that this is the third method of quantization, alongside canonical quantization and path integral quantization. There is very little information on geometric quantization available online, let alone in Chinese, which makes these fifteen articles by Monsoon particularly significant.
However, although many websites have reposted this series, without exception, the images for the formulas in those articles have become broken. Later, I found fourteen of them in PDF format on Baidu Netdisk (presumably saved by a netizen before the formula images failed). I managed to recover the fifteenth article by replacing the formula server and then supplemented it into the collection. (See An Informal Discussion on Geometric Quantization (Original Documents).zip)
Although the original documents were barely readable, I felt there was still room for improvement. I spent three days re-entering the articles using LaTeX, primarily re-typing the formulas and performing some simple typesetting. I am now releasing this version to share with everyone.
My Organized Version: An Informal Discussion on Geometric Quantization.pdf
Disclaimer: Most of the content in these articles is currently beyond my understanding. Therefore, in the process of organizing them, I have purely restored the text, making almost no modifications, let alone corrections. If you encounter any confusion during reading, please first compare it with the An Informal Discussion on Geometric Quantization (Original Documents).zip. If you find no inconsistencies, then it is likely an issue with the original author’s writing. You may raise questions here, but basically, I do not understand the subject matter yet ^_^. Once I have accumulated enough of a foundation and have the ability to study this problem, I will share my findings with you again.
If the author has any objections to this, please contact me at bojone@spaces.ac.cn, and I will make the necessary changes as soon as possible. Thank you very much!
If reprinting, please include the address of this article: https://kexue.fm/archives/2348
For more detailed reprinting matters, please refer to: Scientific Space FAQ