QM: Self-Studying vs. University Classes

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SUMMARY

Understanding the Gross-Pitaevskii equation, Fermi curves, and metric tensors requires a solid foundation in various mathematical and theoretical physics concepts. Essential topics include linear algebra, real analysis, complex analysis, differential geometry, and functional analysis. While university classes provide structured learning, self-study is feasible with dedication and the right resources. Refer to Chapter C4 of the theoretical physics FAQ for effective self-study strategies.

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  • Linear algebra
  • Real analysis
  • Complex analysis
  • Differential geometry
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  • Study functional analysis techniques
  • Explore self-study methods for theoretical physics
  • Review resources on the Gross-Pitaevskii equation
  • Investigate Fermi curves in quantum mechanics
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Students, self-learners, and educators in theoretical physics and mathematics seeking to deepen their understanding of advanced concepts without formal university classes.

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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