Background: In quantum mechanics, one can understand a lot aboutthe wave nature of particles by solving simple one-dimensional scattering problems. We covered how tosolve scattering from a step potential. In this problem,consider a sequence of steps for a free particle moving tothe right and encounters a potential energy disturbance inspace as shown to the right. (a) For the case where E > V5write down the time independent Schrodinger equationthat must be solved within each distinct region. Label theregions. (b) Write down the form of the solution for eachregion in such a way that all parameters in the equationsare real. (c) Specify the boundary conditions that arenecessary to impose on the solutions. (d) Repeat parts (a) and (b) forthe case 0 0V = 0V, <0x= 0x = b

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