Bonus 1 (3 pts) Express total momentum P (P in the Schrödinger equation below) of 3D particle- in-a-box model with Px, Py, and P₂. P should be derived from a momentum operator and a separation of variables of wave functions as shown below; h/dY dx dy dy + + =P.Y dz . 4 = 4x y z Please show all of your derivation processes to receive credits.

Bonus 1 (3 pts) Express total momentum P (P in the Schrödinger equation below) of 3D particle- in-a-box model with Px, Py, and P₂. P should be derived from a momentum operator and a separation of variables of wave functions as shown below; h/dY dx dy dy + + =P.Y dz . 4 = 4x y z Please show all of your derivation processes to receive credits.