Re: Pauli exclusion

From: John Sefton (vegan16_at_accesscomm.ca)
Date: 01/01/05 

Date: Sat, 01 Jan 2005 02:10:14 -0600

Lewis Mammel wrote:
>
> Franz Heymann wrote:
>
>>"John Sefton" <vegan16@accesscomm.ca> wrote in message
>>news:41d4f521$1@news.accesscomm.ca...
>
>
>>>Here is an animation of 2 electrons
>>>in a 1S orbital.
>>
>>The animation is crap. The Pauli Principle has no classical analogue.
>
>
> Yeah, a pet peeve of mine. I often see explanations that electrons
> have "opposite alignment" when they occupy the same orbital.
> Well, oh yeah? How about the |1,0> state, huh? How about that?
>
> Using the "ket" notation:
>
> | state of electron 1 > | state of electron 2 >
>
> ... this is the symmetric combination of "oppositely aligned" single
> electron states:
>
> |+>|-> + |+>|-> = | Total spin = 1 , z-component of spin = 0 >
>
> ... as opposed to the antisymmetric singlet combination, |0,0> :
>
> |+>|-> - |+>|-> = | Total spin = 0 , z-component of spin = 0 >
>
> which allows the completely antisymmetric state with symmetric
> space part, |A>|A> :
>
> |A>|A> ( |+>|-> - |+>|-> )
>
> Obviously, there is no classical analogue which can explicate the
> distinction between |1,0> and |0,0> , yet it is only the
> singlet state, |0,0>, which allows both electrons to occupy
> the same orbital. It's "quantum kinematics" !
>
> Lew Mammel, Jr.

What you don't seem to get- Sam and Franz
included- is that classically a particle
can- nay *must*- have more than one
axis of spin: see http://www.rci.rutgers.edu/%7Ewilliebo/zzzgyrovideo.MPG
in which a bycycle wheel is given rotation and
the rotation begets precession in a second plane.
If it were possible for the wheel to float free rather
than be suspended, it would precess also in a
third plane.
As we view it, let's say the wheel starts rotating
in the xy plane. We observe each plane from the
positive side of the axis, so we start by looking
down the z axis and see that Willie's wife
gets the wheel going counterclockwise.
Now looking down the y axis, we see the wheel
precess in the xz plane, also in a counterclockwise
direction.
OK, here's the difference between opposite
electrons: right at the start, consider two
spokes in the wheel on the x axis; one on
each side of the origin. One rotates around the
x axis counterclockwise looking from the positive
side of the yz plane, and the other also
rotates counterclockwise looking from the +ve side
of the yz plane. But the second spoke is on the
other side of the origin, so
once the wheel is rotated 180 degrees, one sees
that this spoke now rotates clockwise around
the x axis.
It is exactly opposite- always.

There are two different electrons- they differ
in *one* of three possible *concurrent* rotations.

HOW does your notation account for THREE
different concurrent rotations?

And *what* do your 1s and 0s mean-
I mean really?

John

Relevant Pages

  • Re: Pauli exclusion
    ... axis of spin: see http://www.rci.rutgers.edu/%7Ewilliebo/zzzgyrovideo.MPG ... the rotation begets precession in a second plane. ... If it were possible for the wheel to float free rather ...
    (sci.physics)
  • Re: 3d space coordinate calcs
    ... what i'm trying to do is rotate a plane defined by 3 pts at some arbitrary ... (that gets my baseline on the x axis) ... then somehow i calculate the third point(apply the same rotation matrix to ... (setq rad(adcfUtil-DTR deg)) ...
    (microsoft.public.vb.general.discussion)
  • Re: Thomson Aether Physics Under Scrutiny
    ... >> So if are an acrobat, by the simple act of hanging upside down from ... > axis of spin, so one pair of each basic ... There are actually three axes of rotation: ... rotated around the origin in the yz plane. ...
    (sci.physics)
  • Re: Instantaneous axis of rotation?
    ... axis of rotation" of a rigid body is a meaningful concept. ... Draw a plane containing the center of mass and the reference ray, ...
    (sci.physics)
  • Re: photon animation
    ... rotation around the axis of travel ... 'axis of travel' pointing downwards like the forks of the front wheel? ...
    (sci.physics)