# I Identical particles in a box

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1. May 17, 2017

### JamesHG

I have an "unidimensional" box with two identical particles in. My question is , Does it matter in which total spin state is my total function? I mean , if it is a singlet or triplet , one is antisymmetrical and the other is symmetrical, but I only integrate the function in the spatial coordinates, so any answer?

2. May 17, 2017

### Staff: Mentor

It matters. The total wave function, which includes both position and spin, must be antisymmetric under exchange of particles. Thus, the position must be symmetric if the spin is in the singlet state and antisymmetric if the spin is in the triplet state.

3. May 18, 2017

### DrDu

If the particles are non-interacting, you can easily write down the wave-function. Take $x_2\ge x_1$ and figure out the boundary condition for $x_2=x_1$.