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In this problem we will examine a quantum particle tunneling through a potential barrier. Tunneling is an effect used in many device applications. Flash memory, the device used in all solid-state drives uses tunneling to store/remove electrons onto/from a floating gate. Magnetic random access memory (MRAM) uses tunneling to convert between charge and spin information. Consider the following potential profile: V(x) = 0, for xa, and V(x) = Vofor Oxa. (b) Write the continuity condition for the wave function and its first derivative at the boundaries, x=0, and x=a. (c) Calculate the amplitude of the transmitted wave in the x>a region. (d) Calculate the transmission coefficient of the particle across the potential barrier. (e) What is the transmission coefficient in the limit E=Vo