1)State the time-dependent Schrodinger equation in three dimensions. State the meaning of all the terms in the equation. 

2)Using the separation of variables technique, derive the time-independent Schrodinger equation (T.I.S.E.) in three dimensions. 

3)A particle is trapped in the infinite cubical volume of side L. Derive normalized wave functions and energies of the particle using the T.I.S.E.

4)If Nq electrons are contained in the volume at absolute zero temperature, describe how you would count the number of states/orbitals in the system