Consider n identical particles. assume that the particle-particle interactions can be neglected and that the lamiltonian is the sum of n identical and independent hamiltonian operators with known cigenvalues i (a) what is te energy of the ground state (in terms of the eigevas) if these particles are spin-0 bosons? what is the energy if the particles are spin-1/2 fermions and their amiltonians do not depend on spin? (b) consider the case of hree such particles and write down the ground state wavefunctions for bosons in terms of the single particle wave functions ψ,#2, and s. (c) now write down the ground state wavefunctions for three identical fermions. add in spin degrees of freedom (e. g. ψ1.t or as necessary.