Q1. Consider the finite square well potential shown in the following diagram:U(x)E>0LThe potential is given by:for x<0 , x>L|-U. for 0 0is incident on this region from the left. Using the planeA particle with energywave approximation for the particle:a) Show that Y = Ae*+Be¬k* is a suitable general solution to the time-independentSchrödinger wave-equation (TISE) that applies in the region x <0 and find therelationship between k and E in this region.b) By analogy to part (a) show that Y = C e**+De¯** is a suitable solution to the|2m(E+U)ik'xTISE that applies in the region 0 L writedown the four equations arising from the boundary conditions that apply at x=0andx=L .

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Answered: Consider the finite square well…

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