What does it mean that two particles have opposite spins?

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Discussion Overview

The discussion revolves around the concept of spin in quantum mechanics, particularly focusing on what it means for two particles to have opposite spins. Participants explore the nature of spin, its measurement, and the implications of its directional properties, while expressing confusion and seeking clarification on these topics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants express confusion about the concept of spin, questioning how it relates to angular momentum and why it is not simply referred to as such.
  • One participant mentions that spin can be measured using a Stern-Gerlach apparatus, suggesting a method for understanding the concept.
  • Another participant points out that while spin has directional properties, the terms "clockwise" and "counterclockwise" may not accurately describe the behavior of point particles like electrons.
  • Some participants argue that the analogy of particles spinning like balls is misleading and that spin should be viewed as a mathematical construct rather than a physical rotation.
  • There is a discussion about how the "direction" of spin relates to the behavior of particles in a magnetic field, with one participant questioning the meaning of "direction" in this context.
  • Participants note that the values of spin are quantized, specifically +1/2 and -1/2, but express uncertainty about how this relates to the concept of direction.
  • One participant emphasizes that visualizations of spinning objects can be misleading and that understanding particle phenomena requires moving beyond simplistic analogies.

Areas of Agreement / Disagreement

Participants generally agree that the concept of spin is complex and that visual analogies can be misleading. However, there is no consensus on the best way to conceptualize spin or its implications, and multiple competing views remain regarding its interpretation and measurement.

Contextual Notes

Participants acknowledge limitations in their understanding of spin, particularly regarding its measurement and the implications of its directional properties. There are unresolved questions about the relationship between spin and angular momentum, as well as the appropriateness of certain analogies.

hurricane89
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if spin is a term used to describe a particles angular momentum, then how can something have an "opposite" angular momentum than another. spin has me confused honestly. i barely know what it is or how its measured or why it isn't just called angular momentum
 
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Spin has direction - it can be clockwise or counterclockwise, for example. Does that clear things up?
 
hurricane89 said:
if spin is a term used to describe a particles angular momentum, then how can something have an "opposite" angular momentum than another.

In quantum mechanics, angular momentum is quantized. A spin half particle can have only two possible values for it's spin; they are opposite to each other. Opposite here just means negative.

hurricane89 said:
spin has me confused honestly. i barely know what it is or how its measured or why it isn't just called angular momentum

Spin can be measured using a Stern-Gerlach apparatus. Look it up on wikipedia.
 
Vanadium 50 said:
Spin has direction - it can be clockwise or counterclockwise, for example. Does that clear things up?

That statement needs to be quantified since point particles (as far as we know) shouldn't be able to "rotate" about an axis. (so, clockwise, and counterclockwise may not be the best modifiers) Indeed, if you take and upper bound of the radius of an electron and use L=Iw=hbar/2 on it, and find the "velocity" of a point on the equator of the electron, you get a value that is over 10 times the speed of light.
 
Matterwave said:
That statement needs to be quantified since point particles (as far as we know) shouldn't be able to "rotate" about an axis. (so, clockwise, and counterclockwise may not be the best modifiers) Indeed, if you take and upper bound of the radius of an electron and use L=Iw=hbar/2 on it, and find the "velocity" of a point on the equator of the electron, you get a value that is over 10 times the speed of light.

There's an angular momentum vector associated with spin (hence a direction), but that doesn't mean it's associated with the rotation of the point particle.
 
Yes, that's true, but my point was that "clockwise" and "counterclockwise" implies a rotation about an axis. Which demands further comments.
 
Matterwave said:
Yes, that's true, but my point was that "clockwise" and "counterclockwise" implies a rotation about an axis. Which demands further comments.

I wouldn't take that analogy any further. That is a backwards step because it implies particles are spinning balls, which they are not. Electron spin - for example - is always one direction or the other in 3 dimensions. However, the axes can be set arbitrarily and the value is always quantized as +1/2 or -1/2. As you mention, electrons are point particles. It doesn't make sense to say they spin faster at the equator or similar.

If you prefer, you can think of spin as being a mathematical device. As far as I know, the clockwise and counterclockwise designations are arbitrary as well and don't really represent any kind of "corkscrew"-like physical structure.
 
That's exactly my point. :)
 
  • #10
hurricane89 said:
so now if theyre not rotating about an axis then how can something have opposite directions of spin. ughh what is it meant by "direction". is it the "direction" of spin which determines which way the particle curves in the magnetic field? even though it has nothing to do with rotation? if that's the case then "direction" doesn't even mean direction. it just means that "something" is different about electron A that makes it take one path while electron b takes the other... right?

Yes, one has a spin value of +1/2 and the other is -1/2. It is confusing, because it is so tempting to think of a spinning golf ball or similar (you can probably guess what major tournament I was watching yesterday).

Keep in mind that positively and negatively charged particles also exhibit movement (attraction) and you don't need a picture of a spinning ball to picture that. Instead, you picture a magnet. Now, really, what does a magnet explain in this case? (Answer: nothing, it is circular logic as magnets are created by a special arrangement of their atoms.) The point is: with all particle phenomena, you CANNOT let the picture dominate your understanding. The picture is just a shorthand, nothing more, and even that only as long as it doesn't hold you back.
 
  • #11
DrChinese said:
Yes, one has a spin value of +1/2 and the other is -1/2. It is confusing, because it is so tempting to think of a spinning golf ball or similar (you can probably guess what major tournament I was watching yesterday).

Keep in mind that positively and negatively charged particles also exhibit movement (attraction) and you don't need a picture of a spinning ball to picture that. Instead, you picture a magnet. Now, really, what does a magnet explain in this case? (Answer: nothing, it is circular logic as magnets are created by a special arrangement of their atoms.) The point is: with all particle phenomena, you CANNOT let the picture dominate your understanding. The picture is just a shorthand, nothing more, and even that only as long as it doesn't hold you back.
are there any other ways to determine spin or is it just the stern-gerlach experiment which tells you that? thingd are starting to make sense
 

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