1. An electron in an atom that is placed in an external electric field, can tunnel out of the atom thus ionizing it. A simple one-dimensional model is for the electron to be trapped inside a very deep potential well -LSxS+L . . Estimate the ground state energy E, assuming that the well depth V.| is W.> h2/ml? (assume here that this is basically an infinite square well). . When the electric field is turned on there is a perturbation to the potential given by V, =-e Fox where e is the absolute value of electron's charge and E =-Eve, is the external electric field vector, and e, is the unit vector in the x direction. Plot the total potential and note that the particle can now tunnel outside the well in the positive x direction. Calculate the tunneling factor y assuming a very weak field Je| E.L