B Atomic Energy Levels: Simplified Explanations for the Curious

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In the US, this material would probably be introduced in a “modern physics” catch-all course, describing in broad strokes the developments in physics in the 20th century. Alternatively, the hydrogen atom is certainly part of any intro quantum mechanics course. Intro chemistry courses also sometimes cover basic atomic physics and spectroscopy. Any good textbooks used in courses like these would probably fulfill your needs.

(NB—I just found out my alma mater is phasing their modern physics course out in favor of calculus-based special relativity and intro quantum mechanics.)
 
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