2. An electron with a total energy E moves in a one-dimensional region 1. At x...

 

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2. An electron with a total energy E moves in a one-dimensional region 1. At x = 0, there is a potential energy step of height Vo (as shown in the figure). V-6 eV. Given = Aelkx +Be-ikx, and = Cex/b + Dex/b (a) Find the real numbers a and b (in terms of E and Vo). (b) Is the total energy of the electron less or greater than Vo? why? (c) Knowing that the wave function and its space derivative are single valued, continuous and finite find B, C, D in terms of A. Region 1 3-0 Region 2 V. 2. An electron with a total energy E moves in a one-dimensional region 1. At x = 0, there is a potential energy step of height Vo (as shown in the figure). V-6 eV. Given = Aelkx +Be-ikx, and = Cex/b + Dex/b (a) Find the real numbers a and b (in terms of E and Vo). (b) Is the total energy of the electron less or greater than Vo? why? (c) Knowing that the wave function and its space derivative are single valued, continuous and finite find B, C, D in terms of A. Region 1 3-0 Region 2 V.