How Can a Physics Major Begin Learning About the Fractional Quantum Hall Effect?

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A second-semester physics major is eager to learn about the fractional quantum Hall effect in 2D electron gases, seeking guidance on how to start studying quantum mechanics. Currently excelling in an honors E&M course, the student expresses curiosity about the quantum Hall effect but feels lost when reading related research papers. Suggestions include identifying the quantum mechanics textbook used in the university's course and studying relevant chapters as needed. It's noted that mastering quantum mechanics typically requires at least a year of study, progressing from introductory texts like Griffiths to more advanced ones like Sakurai. Additionally, engaging with graduate students or postdocs in the research group for personalized explanations of complex concepts is recommended.
Charlie Guinn
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Hi everybody,

I'm a second semester physics major who was fortunate enough to get a position in a research group at my school. What I want to do is get a head start on learning the physics that this lab studies. Currently, I'm in the honors section of basic E & M and I do well in class, not really having any issues. What the lab I'm in studies is the fractional quantum hall effect in 2D electron gases. I've learned all about the "normal" hall effect in class and I'm SO curious about the quantum hall effect that we're measuring. My question is this: Is there a reasonable way for me to start learning about the basics of quantum mechanics to give me an understanding of the fractional quantum hall effect? I understand that I have a LONG way to go before I'm there, but I'm so curious that I can barely stand it. If there is a way, could somebody point me in the right direction of where to start studying? I'm getting into reading papers that other universities publish about the same research, but I always get lost once things get quantum. Any help?

-Charlie
 
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You may just want to figure out which book the quantum course there uses, buy it, and then look through the necessary chapters when you come across something you don't know.
 
Normally, one devotes at least a year to quantum mechanics starting from the level of Griffiths to that of Sakurai. In your case, I would suggest to go through the papers you wish to understand, identify the portions which require the knowledge of quantum mechanics and try to get that knowledge from the textbooks. It is hard and unconventional, but you may have to start doing it at some point.
Also you can get much oriented advice from the members of your group who have been doing the research in that field. Find a graduate student or a postdoc who is patient enough and willing enough to explain the relevant concepts.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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