Or does anyone know a website that can explain it for me. Im doing a physics paper on Wolfgang Pauli and what he did and researched
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The spin statistic theorem is a mess. I will try to explain it as best as I can, but I suppose there should be a lot of literature that explain it better, but i don't know a good reference. Also I don't know your background on physics which make it harder to explain.
The idea is that there are two kinds of particles. One of them are called fermions and the other one are called bosons. The intuition is that the bosons likes to do the same (to be in the same state) and fermions hate each other and never do the same (the are never in the same state Pauli exclusion principle). In the language on quantum mechanics we said that a system of identical particles have only symmetric or anti-symmetric states under the exchange of particles. The one with symmetric states are called bosons and the ones with anti-symmetric states are called fermions. This is the real definition of what a fermion or a boson is.
The point is that fermions behave differently than bosons. For example the electrons are fermions and because of that we have a periodic table. If the electrons were bosons we will not have a periodic table and matter will behave completely different that they way we know it. The photon are bosons and because they are bosons we have lasers, if the photon were fermions we will not have laser and light will be a lot different.
Also there is another intrinsic properties of particles called spin which can only take half integer or integer values (0,1/2,1,3/2,2...). For example you can have a spin one half particle, spin one particle, spin three half particle, spin one particle and so on. The important thing about the spin is that is intrinsic to the particle. A spin one particle will be always a spin one particle. Is like a label to the particles. For example all the electrons has spin one half and all the photons have spin one.
The idea is that there are two kinds of particles. One of them are called fermions and the other one are called bosons. The intuition is that the bosons likes to do the same (to be in the same state) and fermions hate each other and never do the same (the are never in the same state Pauli exclusion principle). In the language on quantum mechanics we said that a system of identical particles have only symmetric or anti-symmetric states under the exchange of particles. The one with symmetric states are called bosons and the ones with anti-symmetric states are called fermions. This is the real definition of what a fermion or a boson is.
The point is that fermions behave differently than bosons. For example the electrons are fermions and because of that we have a periodic table. If the electrons were bosons we will not have a periodic table and matter will behave completely different that they way we know it. The photon are bosons and because they are bosons we have lasers, if the photon were fermions we will not have laser and light will be a lot different.
Also there is another intrinsic properties of particles called spin which can only take half integer or integer values (0,1/2,1,3/2,2...). For example you can have a spin one half particle, spin one particle, spin three half particle, spin one particle and so on. The important thing about the spin is that is intrinsic to the particle. A spin one particle will be always a spin one particle. Is like a label to the particles. For example all the electrons has spin one half and all the photons have spin one.
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