1. The problem statement, all variables and given/known data I'm a pharmacologist and I have a modern physics course to do. This is not my field and I'm completely lost... We were given this problem to do. Thanks a lot in advance. Consider a potential where U(x) = 0 for x ≤ 0 U(x) = -3E for x > 0 Consider a particle of energy E incident by the left. When the particle arrives at the potential step, What is the behavior of the particle from a classical point of view? How does vary its kinetic energy? From a quantum point of view, assuming that the incident wave function has the form Ψ(x) = 1eikx . Determine the complete wave function in the entire space. In the quantum case, what is the probability that the particle is reflected? 2. Relevant equations 3. The attempt at a solution Here's what I have so far 1. I think that because E is greater than -3E, classically the particule would be transmitted completely without reflection because the difference between the energy E and the step potential would be positive, and would continue infinitely in x > 0... but i'm not sure. And its kinetic energy would not change. 2. I think that because the question ask the equation in three dimension, the forme should be: Ψ(x, y, z) = 1 ( eikx + eiky + eikz ) but that can't be so simple... 3. from my research I came up with this: The reflection ratio R would be R = (k1 - k2)2 / (k1 + k2)2 k1 being √(2mE / ħ2) k2 being √(2m(E - V0) / ħ2) Please help me... it's been two days that I'm looking for this...Thanks !