1. The problem statement, all variables and given/known data Consider the one-dimensional Schrodinger equation for the step potential, that is for U(x) = 0 for x<0, and for , . Consider a particle with mass m and energy E < U. Assume the particle is initially at x<0. a) Calculate the penetration depth Δx at which the probability density of the transmitted wave "decayed" to half the value that it has at x=0. b) Apply your result of part a) to an electron inside a metal block for which the work function is 4 eV. c) Apply your resilt of part a) to a "macroscopic" particle with mass m=10^-15 kg and velocity v=10^-2 m/sec. Assume a barrier height that is 1.5 as high as the kinetic energy of the particle. 2. Relevant equations 3. The attempt at a solution I have no idea where start with this one, I have a clue on how to find the transmission and reflection probabilities but I am not sure this is relevant for finding Δx. In this question are we suppose to use the equation Δp Δx >= ħ/2π ?