Hand written solution required

2. Consider a system of two spin-1/2 particles, such as the electron and the proton in the ground state of hydrogen. 20] (a) Write down the triplet and singlet state configurations. [4] (b) In the coupled basis of angular momentum eigenstates, the total angular momentum eigen- states can be expanded as [16] (j, m) = (ji, j2; m1, m2 j, m)|j1, j2; m1, m2) . mi+m2=m Write down all the allowed expansions of total angular momentum eigenstates for such a system in the triplet configuration (hint: j = 1). Use the table of Clebsch-Gordan coefficients to simplify the associated coefficients of your expansion