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#1 2005-08-10 00:04:17

Mitchy T
Member
Registered: 2005-06-26
Posts: 42

Quantum Spin

Despite my upmost attempts to find a simple web deffinition, i am so far unable to comprehend what quantum spin is exactly...whilst i have a vauge idea it would be so much better if the whole conspet could be cleared up by someone who knows what they are talking about.

Also if anybody knows in more depth about it, why is the electron given a spin of 1/2?


E=MC hammer

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#2 2005-08-10 06:27:27

Birddog
New Member
From: Texas
Registered: 2005-07-06
Posts: 6

Re: Quantum Spin

spin is an intrinsic angular momentum associated with microscopic particles. It is a purely quantum mechanical phenomenon without any analogy in classical mechanics. Whereas classical angular momentum arises from the rotation of an extended object, spin is not associated with any rotating internal masses, but is intrinsic to the particle itself

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#3 2005-08-10 07:52:53

Martin
Moderator
From: Earth
Registered: 2004-10-04
Posts: 380

Re: Quantum Spin

Perhaps this brief explanation of Spin (<—click on this link) will help.


The truth is out there.

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#4 2005-08-10 19:26:14

Mitchy T
Member
Registered: 2005-06-26
Posts: 42

Re: Quantum Spin

thanks alot guys now atleast i understand it but still im wondering how the electron is 1/2...please forgive my nievety but theres only one way to learn smile


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#5 2005-08-11 01:12:50

dgeek42
Junior Member
Registered: 2005-07-09
Posts: 15

Re: Quantum Spin

Guys, lets be a little more careful? Spin is not an intrinsic angular momentum, as in something orbiting a point at a certain speed. No, as far as we know (unless there's been something new in the last couple of years?), the angular momentum analogy breaks down because the electron is, to the best we can determine, a point particle, meaning that r in r-cross-p is zero. (The relevant result is that an electron would have a rotational speed at it's "equator" in excess of the speed of light, which just shows that there some limitations to treating it as a particle in the classical sense.) We've left the classical world behind.

Nonetheless, we can continue on because of the formalism -- the rules are still good because they no longer explicitly call for some value of "moment arm" as if this was a mass on a stick turning around a point. In the quantum world, we can come up with rules that describe the quantity that classically is called angular momentum: the commutation relations. And the crazy thing is, (sweeping a ridiculous amount of detail under the rug) when you use those rules in the framework of quantum, you get a value of angular momentum comparable to the classical value. But, and the important thing here is, they are not classical mechanics. So we can investigate and see that there are other quantities that obey these some sorts of commutation rules. Spin was originally called intrinsic angular momentum, in part because there was an analogy available between the classical and quantum mechanics, and this weird quantity obeyed the rules for the quantum version of angular momentum. However, there's no classical analogy to spin -- it's not like the earth orbiting the sun while turning on its own axis, unless you want an earth whose radius is zero.

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#6 2005-08-11 01:14:51

dgeek42
Junior Member
Registered: 2005-07-09
Posts: 15

Re: Quantum Spin

Which, Birddog, looks exactly like what said, except for the one quibble about "intrinsic angular momentum". My bad.

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#7 2005-08-11 12:54:15

Mitchy T
Member
Registered: 2005-06-26
Posts: 42

Re: Quantum Spin

but surely if you consider the electron to have a radius of zero then it theoreticaly becomes 2d and wont obey many of the laws of physics?  I thougt when talking about electrons you had to be extremely precise due to there miniscule mass and diameter. also the anolgys that have read so far about intrinsic angular momentum or quantum spin (as they have so far been shown as the same thing) have used earths orbit around the sun as there are two different types of intrinsic angular momentum,  spin and orbital correct?


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