How as much detail as possible. include any theories or starting formt ats ns show steps for manipulations of formulas. final answers must be in st units with corred phy291 consider an electron trap in an infinite potential well with the length of 2 nm. electron as free particle with having free particle wave function and energy can be considered consider 1 dimensional, time independent free particle wave function ψ( x)-은 sin(쮜.find a) the total energy of the electron in the quantum well? (hint: solve 1 dimensional time independent schrodinger equation) (4 points) b) find the energies of following states, n=1, n=27 (4 points) c) write down the wave function for above states n-1 and n-2?