The dynamics of a quantum particle in 1-D is given in the form of Schrodinger equation d'y 2mE + -y=0, where E is the total energy of the particle, m is mass and is a dx universal constant known as Plank's constant and the appropriate boundary conditions are y (0)= y(1)=0. i) Find the eigen values E,, and the corresponding eigen functions y(x) ii) Write the orthogonality condition