Is Intrinsic Angular Momentum a Valid Term for Classical Rotation?

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SUMMARY

The discussion centers on the terminology surrounding angular momentum in classical mechanics, specifically the term "intrinsic angular momentum" as it relates to the expression L = rxP + I*W. Participants debate whether the term I*W can be accurately referred to as intrinsic angular momentum, with references to Roy Featherstone's rigid body dynamics textbook supporting its use. The consensus leans towards the idea that "intrinsic angular momentum" is more commonly associated with quantum mechanical spin rather than classical rotation, leading to suggestions of alternative terms like "spin angular momentum" or simply "spin."

PREREQUISITES
  • Understanding of classical mechanics concepts such as angular momentum and inertia tensor.
  • Familiarity with the mathematical representation of angular momentum (L = rxP + I*W).
  • Knowledge of quantum mechanics, particularly the concept of spin.
  • Awareness of rigid body dynamics and relevant literature, specifically Roy Featherstone's work.
NEXT STEPS
  • Research the definitions and distinctions between intrinsic angular momentum and quantum mechanical spin.
  • Study Roy Featherstone's rigid body dynamics algorithms for insights on angular momentum terminology.
  • Explore the implications of using different terms like "spin angular momentum" versus "orbital angular momentum."
  • Investigate how angular momentum is treated in various physics textbooks and academic papers.
USEFUL FOR

Physicists, mechanical engineers, and students studying classical mechanics and quantum mechanics who seek clarity on angular momentum terminology and its applications in rigid body dynamics.

Barkan
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Hi All,

According to some textbook, angular momentum can be represented as follows;

L = rxP + I*W

r is position from the origin, P is translational momentum, I is inertia tensor and W is angular velocity. Is it possible to call I*W part as intrinsic angular momentum?

Thanks
 
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Hi Barkan! :smile:

(have an omega: ω :wink:)
Barkan said:
L = rxP + I*W

r is position from the origin, P is translational momentum, I is inertia tensor and W is angular velocity. Is it possible to call I*W part as intrinsic angular momentum?

(where r is the position of the centre of mass, and I is the tensor about the centre of mass?)

That's what I'd call it :smile: … but I don't know whether it's the accepted name.
 
I think "intrinsic angular momentum" just refers to quantum mechanical spin, not classical rotation.
 
yes tiny, symbols are referring the way you define.

some people were criticizing me for using this term. the problem is how i am supposed to name I*W then? It is not 'angular momentum' because the term angular momentum includes other terms as written above. roy featherstone refers it as 'intrinsic' in his rigid body dynamics algorithm textbook.

any good ideas to name 'I*W' term?
 
Meir Achuz said:
I think "intrinsic angular momentum" just refers to quantum mechanical spin, not classical rotation.
Barkan said:
some people were criticizing me for using this term.

Meir and those people have a good point.

However, there ought to be a name for it, and "intrinsic angular momentum" does seem apt.

The alternative is "spin angular momentum" or just "spin" (with the other component being "orbital angular momentum") … but "spin" also could be said to refer to quantum mechanical spin. :confused:
… roy featherstone refers it as 'intrinsic' in his rigid body dynamics algorithm textbook.

I didn't know that … maybe it'll catch on? :smile:
 

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