Relativistic Quantum Mechanics

[Funzies]

Hey guys, I am attending my second course in quantum mechanics. At the moment we are studying two-particle-systems using Dirac notation. In our book (An introduction to quantum mechanics - Griffiths) the author wrote that one can prove from relativisitic quantum mechanics that particles with integer spin are always bosons and particles with half integer spin are always fermions.
I've been googling, trying to find this prove, but I can't find it. Does anyone here know a book or web page in which this is explained/proved?
Thanks in advance!

 

[jambaugh]

Here is the wikipedia page: http://en.wikipedia.org/wiki/Spin-statistics_theorem" google spin statistics theorem proof and you'll find a few links.

 

[Fredrik]

There has to be a proof somewhere in "PCT, spin and statistics, and all that" by Streater & Wightman, but I have only read a small part of that book. The book is really hard, so I expect the proof of the spin-statistics theorem to be too. (I haven't actually studied the theorem or its proof. I have only read a small part of that book).

An alternative to proving it rigorously as a theorem is to consider the canonical quantization of a few classical field theories. For the Dirac field, the usual quantization procedure only makes sense if the creation and annihilation operators satisfy an anti-commutation relation instead of the usual commutation relation. A consequence of that is that if you apply two creation operators to the vacuum state, you get the zero vector instead of a two-particle state. I think you can find this argument in most quantum field theory books that use the canonical quantization approach. I know you can find it in Mandl & Shaw.

 

[dextercioby]

A proof for the spin-statistics theorem in the general case can be found in any serious axiomatic QFT book. However, before venturing in heavy maths, I would advise people go through Pauli's 1940 article in the Physical Review.

 

[johannsmit]

Hello, Agree on Wikepedia.

 

[physiker_192]

I remember coming across the proof somewhere in Franz Schwabl's advanced Quantum Mechanics book (Ch.13).