3) Particle in a finite box Infinite square well: Finite square well: wavefunction zero wavefunction has at walls. exponential attenuateon OO at the walls W RIN For a particle in a finite box, where the potential energy outside the box do not go to infinity, the wavefunction does not go to zero at the edge (as shown in the picture above). For particle in a finite box, the potential energy is described as V ( x ) = 10. - 75x57 Uo, otherwise The center of the box is at x = 0 and the edge of the box is at x = +. In this situation, the wave function for the ground state (n=1) is 4 (x) = Ae-all where 2m(U. - E) a= h2 Uo is the potential energy outside the box, E is the energy of the particle, and E