Is it possible for two bosons to occupy the same quantum state explain?

[somebody-nobody]

Show that the symmetric combination of two single particle wavefunction

Gab(r1,r2)=Ga(r1)Gb(r2)+Ga(r2)Gb(r1)

where G is psi ( i don't have symbol on my computer)

displays the exchange symmetry characteristics of bosons (equation

G(r1,r2)=G(r2,r1))

Is it possible for two bosons to occupy the same quantum state explain?

Please give me some tips how to do first part of the problem. I am totally lost

 

[Meir Achuz]

Just write r2 where you had r1 and also write r1 where you had r2.
You get the same result.

 

[KoGs]

Let's use 2 simple examples:

5 * 6 = 30. Ok but 6*5 also = 30.
So when you are multiplying 2 things together, it doesn't matter what order you write them in. You get the same result.

Also:
4 + 3 = 7. But 3 + 4 also = 7.
Similar to multiplication. It doesn't matter what order you write the numbers in. You get the same result.

 

[dextercioby]

You can also interchange particles among coordinates. You should get the same result.

Daniel.