Spin \(\frac{1}{2}\) fermions of mass m and 4m are in a harmonic potential V(x) = \(\frac{1}{2}\)kx2. Which configuration of 4 such particles has the lowest value of the ground state energy?
1
4 particles of mass m
2
4 particles of mass 4m
3
1 particle of mass m and 3 particles of mass 4m
4
2 particles of mass m and 2 particles of mass 4 m