Undergrad Simple physical example for addition of angular momentum?

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The discussion focuses on finding a concise and physical example of angular momentum addition for undergraduate quantum mechanics classes. The hyperfine splitting in hydrogen is deemed too complex for short lectures, prompting suggestions for simpler alternatives. Biking through a curve is proposed but considered too simplistic. A more relevant example is the addition of spin angular momentum from two spin-1/2 particles, resulting in singlet and triplet states, which highlights differences from classical angular momentum. Ultimately, the search for a straightforward physical example remains challenging.
andresB
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I've been asked to replace a professor for a couple of classes in an undergraduate quantum mechanic course.

I have to present some topics on angular momentum, including the addition of angular momentum.

I have no problem with the general theory and can present it just fine. But I would like to give an example where the addition of angular momentum is needed. And I would like a small but physical example where the addition of angular momentum is relevant.

The most standard example, the hyperfine splitting in hydrogen, is too long for me to present in a couple of short lectures.
 
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andresB said:
I've been asked to replace a professor for a couple of classes in an undergraduate quantum mechanic course.

I have to present some topics on angular momentum, including the addition of angular momentum.

I have no problem with the general theory and can present it just fine. But I would like to give an example where the addition of angular momentum is needed. And I would like a small but physical example where the addition of angular momentum is relevant.

The most standard example, the hyperfine splitting in hydrogen, is too long for me to present in a couple of short lectures.
How about biking through a curve? Or is that too simple?
 
andresB said:
I would like to give an example where the addition of angular momentum is needed. And I would like a small but physical example where the addition of angular momentum is relevant.

How about adding the spin angular momentum of two spin-1/2 particles to yield either the singlet or the the three triplet states? It's about the simplest possible case, yet is startlingly different from classical angular momentum addition.
 
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Nugatory said:
How about adding the spin angular momentum of two spin-1/2 particles to yield either the singlet or the the three triplet states? It's about the simplest possible case, yet is startlingly different from classical angular momentum addition.

Well, yes of course. I meant, examples After the triplet and singlet thing is done.
 
andresB said:
Well, yes of course. I meant, examples After the triplet and singlet thing is done.
I thought it was too easy :smile:
 
I guess there is no simple/easy to show physical example of the kind I'm looking for.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA

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