The Pauli Principle and the Wavefunction of Two Particles in a Ring

[Chemist20]

Hello,
I have a question about two particles in a ring.

Okay, so as far as I know the wavefunction of a particle in a ring is cos(kθ) with k=0,1,2,3...

So, what is the wavefunction (total one) for the two particles? I am guessing it must be the multiplication of the two:
totalphi= cos(kθ1)*cos(kθ2) Yes?

I've been asked what special care is needed when writing down the total wavefunction and i don't know what to say. I am guessing that you just have to consider them together yes? Or maybe repulsions?

help!

 

[DrClaude]

If there is an interaction between the particles, then indeed it will have to be accounted for.

I suspect however that the question was about the fact that care must be taken when dealing with identical particles to respect the Pauli principle.