Consider two no interacting identical particles with spin 1/2 that are confined in a cubical box of side L. (a) Find the total wave function T (51, 52) = 4 (1,, 2) x (S,, $2), where y (r, 2) is the spatial wave function, and x ($1, $2) is the spin wave function. (b) Find allowed energy of this system. (Hint: (1) construct the symmetric/antisymmetric functions for spatial y (r, 2 ) and spin x (51, $2) functions, respectively, (2) fto construct the spin wave functions, you can either apply the general formula or the addition of two spin angular momenta, (3) construct the total wave function I(51,52) for this two particles with spin 1/2 system by the product of spaticl and spin wave functions) (20 points)