Is Intrinsic Angular Momentum a Valid Term for Classical Rotation?

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Discussion Overview

The discussion revolves around the terminology used to describe a component of angular momentum in classical mechanics, specifically whether the term "intrinsic angular momentum" can be appropriately applied to the term I*W, where I is the inertia tensor and W is the angular velocity. Participants explore the implications of this terminology in relation to classical rotation versus quantum mechanical spin.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that the term "intrinsic angular momentum" could refer to the I*W component of angular momentum, though they acknowledge uncertainty about its acceptance in the broader community.
  • Others argue that "intrinsic angular momentum" is typically associated with quantum mechanical spin, suggesting a distinction between classical and quantum contexts.
  • A participant mentions that the term "intrinsic" is used by Roy Featherstone in his textbook on rigid body dynamics, indicating that there may be precedent for its use in classical mechanics.
  • There is a suggestion that alternative terms like "spin angular momentum" or simply "spin" could be used, but these terms also carry associations with quantum mechanics, leading to further confusion.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of the term "intrinsic angular momentum" for classical rotation, with no consensus reached on a definitive terminology. Some acknowledge the potential for the term to be valid while others maintain that it is primarily linked to quantum mechanics.

Contextual Notes

The discussion highlights the ambiguity in terminology and the potential for misunderstanding due to overlapping definitions in classical and quantum contexts. Participants note that the definitions depend on how terms are framed and the specific context in which they are used.

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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