Two identical non interacting spin 1/2 particles of mass m are in the one dimensional harmonic oscillator potential for which the hamiltonian is h=p1^2/2m+(1/2)m*w^2*x1^2+p2^2/2m+( 1/2)m*w^2*x2^2.

determine the ground state, first excited state, and their corresponding energies if the total spin of the system is 1, i. e. s=s1+s2=1? write these out explicitly.
describe qualitatively how the energies of the s=0 and s=1 states would change if the particles interacted with potential energy v(x1,x2)=-v0 for |x1-x2|