Consider a particle of mass, m, moving in a one dimensional system between x=a and x=b with the potential energy, V(x) = 1+(hbar squared/mx^2)
a. Give the schrodinger equation for this system in as much detail as possible.
b. Show that psi=N/x is a solutionto the schrodinger equation for this system. what is the energy?
c. Show that the normalization constant is N= (ab/(b-a))^(1/2)
d. Calculate the average value of x and x^2 for the particle in this system.