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Forum index » Science and Technology » Physics » Particle
picturing spin
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Jeff Lee
science forum beginner


Joined: 18 May 2005
Posts: 3

PostPosted: Wed May 18, 2005 11:29 am    Post subject: picturing spin Reply with quote

I always hear how, under rotation, a spin 1/2 particle doesn't return to its
origin state until the rotation angle is 4\pi. Mathematically this is no
problem for me being just some facts stemming from the 2-forld cover of the
Lorentz group, but what does this rotation mean practically speaking in the
lab? Is this an active rotation? Is it passive? How do I picture this
operationally?
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PD
science forum Guru


Joined: 03 May 2005
Posts: 4363

PostPosted: Wed May 18, 2005 1:35 pm    Post subject: Re: picturing spin Reply with quote

Jeff Lee wrote:
Quote:
I always hear how, under rotation, a spin 1/2 particle doesn't return
to its
origin state until the rotation angle is 4\pi. Mathematically this is
no
problem for me being just some facts stemming from the 2-forld cover
of the
Lorentz group, but what does this rotation mean practically speaking
in the
lab? Is this an active rotation? Is it passive? How do I picture this
operationally?

The best picture is the rotation of an object that tied with a tether
to a fixed point. (I don't have a good feel for *why* this is so, but
I'm doing some reading to find out.)

The classic demonstration is to hold a cup of coffee in the palm of
your hand. Then rotate your hand (if right hand, then rotate ccw
looking down at your hand) so that you don't spill the coffee. After
2*pi, you will not be in your original configuration; in fact, you'll
be on the threshold of pain. But if you continue rotating in the *same*
direction, still palm-up so no coffee spills, you'll find yourself in
comfort in the original state.

This is known as the "Coffee Cup Proof of the Existence of Spinors".

PD
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Richard Schultz
science forum Guru


Joined: 28 Apr 2005
Posts: 339

PostPosted: Thu May 19, 2005 4:37 am    Post subject: Re: picturing spin Reply with quote

In article <1116430513.380163.31930@o13g2000cwo.googlegroups.com>, PD <pdraper@yahoo.com> wrote:

: This is known as the "Coffee Cup Proof of the Existence of Spinors".

I've seen a series of photographs of Richard Feynman making that demonstration
(was it in _The Feynman Lectures_?), although I believe that he either
called it or strongly implied that it should be called the "Dancing Girl
Proof of the Existence of Spinors."

-----
Richard Schultz schultr@mail.biu.ac.il
Department of Chemistry, Bar-Ilan University, Ramat-Gan, Israel
Opinions expressed are mine alone, and not those of Bar-Ilan University
-----
"Logic is a wreath of pretty flowers which smell bad."
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