Simple physical example for addition of angular momentum?

Click For Summary

Discussion Overview

The discussion revolves around finding a simple physical example to illustrate the concept of angular momentum addition, particularly in the context of undergraduate quantum mechanics. Participants seek examples that are concise yet relevant, avoiding more complex scenarios like hyperfine splitting in hydrogen.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests biking through a curve as a potential example, questioning its simplicity.
  • Another participant proposes using the addition of spin angular momentum of two spin-1/2 particles to demonstrate the singlet and triplet states, noting its stark difference from classical angular momentum addition.
  • A later reply indicates a desire for examples that come after discussing the triplet and singlet states.
  • One participant expresses doubt about the existence of a simple or easy physical example that meets the criteria they are looking for.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a suitable example, with multiple competing views and suggestions remaining unresolved.

Contextual Notes

Some limitations include the challenge of finding a concise example that effectively illustrates the addition of angular momentum without delving into more complex scenarios.

andresB
Messages
627
Reaction score
375
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.
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: vanhees71
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K