QM: Self-Studying vs. University Classes

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In summary, the understanding of Gross-Pitaevskii equation, Fermi curves, metric tensor, and other related subjects requires a significant amount of knowledge in areas such as linear algebra, real analysis, complex analysis, differential geometry, and functional analysis. While self-study is possible with enough practice and determination, taking classes at a university may be necessary to acquire the necessary theoretical background. Additional guidance on self-studying can be found in the theoretical physics FAQ.
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kent davidge
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(Sorry for my poor English.)
How much of theory should one know in order to understand Gross-Pitaevskii equation, Fermi curves, metric tensor and so on? Is it necessary to took classes at the university or is it possible to learn those subjects just by self studying?
 
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kent davidge said:
How much of theory should one know in order to understand Gross-Pitaevskii equation, Fermi curves, metric tensor and so on? Is it necessary to took classes at the university or is it possible to learn those subjects just by self studying?
With enough practice and persistence anything can be learned by self-study. But for what you mentioned you need to learn a lot - on the mathematical side significant amounts of linear algebra, real analysis, complex analysis, differential geometry, functional analysis, and a corresponding amount of theoretical physics. You may wish to look at the sections in Chapter C4: How to learn theoretical physics of my theoretical physics FAQ to get more advice on how to self-study successfully.
 
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Related to QM: Self-Studying vs. University Classes

1. What is the difference between self-studying and taking university classes in the field of quantum mechanics (QM)?

Self-studying involves learning QM on your own, without the guidance of a professor or structured curriculum. University classes, on the other hand, involve attending lectures and completing assignments under the instruction of a professor.

2. Which option is better for learning QM - self-studying or taking university classes?

The answer to this question depends on the individual's learning style and goals. Self-studying allows for more flexibility and the ability to focus on specific topics of interest, but university classes offer a more structured and comprehensive approach to learning QM.

3. Is it possible to learn QM through self-studying without any prior knowledge or background in the subject?

While having a strong foundation in math and physics can be helpful, it is possible to learn QM through self-studying even without prior knowledge in the subject. However, it may require more dedication and effort to understand the complex concepts without the guidance of a professor.

4. How can I ensure that I am learning QM effectively through self-studying?

To effectively self-study QM, it is important to have a clear plan, set goals, and regularly review and practice the material. Utilizing online resources, such as textbooks, lectures, and practice problems, can also aid in understanding the concepts.

5. Are there any benefits to taking both self-study and university classes for QM?

Taking both self-study and university classes can offer a well-rounded approach to learning QM. Self-studying can allow for a deeper understanding of specific topics, while university classes can provide a structured learning environment and access to a professor for guidance and clarification.

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