How important is experience in QM?

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How important is practical experience with quantum mechanics for understanding, as best as one can, the subject?

For example: Weinberg in his QFT tome, briefly discusses QFT three point interactions in terms of angular momentum states. So, he points out that the interaction can be formulated with 3-j symbols. How would you do Born approx. for pion-nucleon scattering in the angular momentum rep .

Or compute the numerical value(s) for the 1p-1s transition for the hydrogen atom, with the Coulomb gauge and non-rel QED.

Does a separable potential in non-rel many-body theory imply and energy gap?

Just curious.
Regards,
Reilly Atkinson
 
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Practical experience with quantum mechanics is very important for understanding the subject. Not only does it provide a hands-on approach to the material, but it also allows one to gain a deeper understanding of the underlying concepts. This is especially true when dealing with more complex topics like scattering theory and many-body systems. By working through these problems, students can gain a better appreciation for the nuances of the mathematical models used to describe quantum systems. Additionally, it can help them to better appreciate how different physical scenarios can lead to vastly different results.