Consider two non-interacting spin s3/2 identical particles, with mass m, confined in a l-dimensional nfinite square well of width a. the total spin state and the total energy of the system are given as is. m) 12,2) and (10th*)/(2ma? ) respectively. a) write down the total spin state in terms of single-particle spin states, namely uncoupled representation ist, m,)s2. 1s the total spin state symmetric or anti-symmetric? b) write down the complete wave function, spatial and spin parts, of the system.