I am not sure if my title to this thread is appropriate for the question I am about to ask, but it is what we are currently studying in my Quantum Mechanics class so here it goes. Two non-interacting particles with mass m, are in 1-d potential which is zero along a length 2a and infinite elsewhere a) What are the values of the values of the 4 lowest energies of the system? b) What are degeneracies of these energies if two particles are i)identical, with spin 1/2 ii)not identical but both have spin 1/2 iii)identical with spin 1 What I am having trouble with is part a, but once I am helped with that can someone point me in the right direction to solve part b which is where I guess the anti-symmetric and symmetric wave functions come into play. I know spin 1/2 corresponds to fermions, while spin 1 correspnds to bosons. But I am still not sure how to this. Thanks and peace.