Re: Is Pauli's repulsive force fundamental?
From: Hendrik van Hees (hees_at_comp.tamu.edu)
Date: 09/14/04
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Date: Tue, 14 Sep 2004 17:14:07 +0000 (UTC)
Frank Hellmann wrote:
>
>
> Jeroen <wijnhout@science.uva.nl> wrote in message
> news:<chmrjb$lmh$1@info.science.uva.nl>...
>> Igor wrote:
>>
>> Why is the wavefunction anti-symmetric?: to obey the Pauli exclusion
>> principle. So the anti-symmetry is put in by hand, in other words, it
>> is fundamental. It can not be derived from anything else.
>>
>
> First of all google for the Spin Statistics Theorem, if you are to
> have Spin N/2 particles they neccesarily behave as fermions.
> Secondly, people would tend to agree that it's fundamental, but
> disagree that it's a force as it is in the kinematic set up of the
> theory instead of the dynamic behaviour.
Pauli blocking is no force.
To my understanding the most logical line of arguments is as follows:
(1) Laidlav/de Witt: In theories where space has >=3 dimensions,
elementary particles must bei either bosons or fermions
M. G. G. Laidlaw, C. M. DeWitt, Feynman Functional Integrals for Systems
of Indistinguishable Particles, Phys. Rev. D 3 (1970) 1375, URL
http://link.aps.org/abstract/PRD/v3/i6/p1375
(2) In a local, microcausal relativistic quantum field theory with
stable ground state (hamiltonian bounded from below) particles with
integer spin (helicity) are necessarily bosons, particles with
half-integer spin (helicity) are necessarily fermions. Vgl. z.B.
Weinberg, Quantum Theory of Fields, Vol. I
--
Hendrik van Hees Cyclotron Institute
Phone: +1 979/845-1411 Texas A&M University
Fax: +1 979/845-1899 Cyclotron Institute, MS-3366
http://theory.gsi.de/~vanhees/ College Station, TX 77843-3366
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