Gregory L. Hansen wrote:
In article ,
ganesh wrote:

One basic Q: Is pauli's exclusion principle an axiom?? Or can it be
derived using the electromagnetic force + .....??

ganesh



Identical particles in quantum mechanics are not identical in the sense of
two cue balls with the same mass, shape, color, and so on. They're
identical in the strongest possible sense -- you can't say particle A is
here and particle B is there because particle B is also here and A is also
there. When you work out the two-particle wavefunction you must compute
both possibilities and add them together. If the properties are indicated
by A and B and our assumption of which is which is indicated by position,
we have

psi(A,B) + psi(B,A)

Fermions, particles with half-integral spin (1/2, 3/2, 5/2,...)
anti-commute, which means there's a minus sign.

psi(A,B) - psi(B,A)

If A and B are the same (two particles in identical quantum states) we
have

psi(A,A) - psi(A,A) = 0

The probability goes to zero, hence, no two fermions can share the same
state.
For instance, in the two-point, one pathway standing
wave below
http://rapfast.petcom.com/~john/He.GIF
the first five positions a
0,0,80 0,0,-80
5.9726,-14.4192,78.4128 -5.9726,14.4192,-78.4128
21.6478,-21.6478,73.9104 -21.6478,21.6478,-73.9104
41.0624,-17.0086,66.5176 -41.0624,17.0086,-66.5176
56.5685,0,56.5685 -56.5685,0,-56.5685
The Galaxy pattern orbital is produced when a point is
rotating round a circle at a fixed radius from a center
and the circle is precessing at twice the frequency of
the rotation. If there are more than two points on the
circle, ONLY points exactly opposite each other will follow
the same path. THIS is why the Pauli Exclusion Principle
holds.
John
http://rapfast.petcom.com/~john/