PHYSICS 137B Study Guide - Midterm Guide: Bloch Sphere, Unified Atomic Mass Unit, Thai Baht
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V (x) = { v0(1 |x/a|) a < x < a otherwise. V0 > 0 and a > 0 are constants (fig. V-shaped potential: 30 points using the wkb method, nd the bound state energies for a particle of mass m bouncing up and down atop a surface in the gravitational eld. For a ver- tical coordinate z > 0, let the potential be purely grav- itational: v = mgz, where g is the acceleration of free fall. For z < 0, assume a repulsive quadratic potential. 2 kz2, where k > 0 is a constant. Calculate the bound energy levels en (see fig. and the corresponding wkb wave functions. Give an explicit result for the rst two en as frequencies (in hz) N = en/h for g = 9. 8m/s2, m = 1. 66 10 27 kg (approx- imately one atomic mass unit), and k = 1 10 19 n/m.
