Answer Happy

3. (?? pts) The Large Hadron Collider at CERN in Switzerland is the highest energy particle accelerator in the world. This year beams were created for the first time with an energy of 7 TeV protons with an intensity of 4.6 x10¹8 particles per second. (1 TeV = 10¹2 eV) At this energy, the protons are moving with a speed of 0.999999991c. At these energies, the proton mass of 938 MeV/c² is negligible. Suppose that this beam encounters a potential energy step: x≤0 regionl U(x 0 3TeV x>0 region II A) What is the momentum of the protons in region I and in region II? B) Write a wave function in both regions in terms of k, k', and normalization constants. C) Calculate k and k'. (Note: Schrödinger's equation is nonrelativistic, so we need to compute k and k'without relativity. This is a bit of a stretch, but necessary to do this problem.)