How important is experience in QM?

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Main Question or Discussion Point

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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