1) Find the energie level and the wave function of the ground state and the first excited state for system of two noninter acting fermions with spin 1/2 moving in a one dimentional infinite squarewell
2) Consider a free electron gas model for noninteracting electron in a two-dimentional infinite square well. Calculate the Fermi energy Ef of the system.Let σ be the numberof free electrons per unit area(i.e, σ=Nq/A, where Ais thearea of the square well and Nq the total number of electrons)