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 solidstate drives uses tunneling to store/remove electrons onto/from a oating gate. Magnetic random access memory (MRAM) uses tunneling to convert between charge and spin information. Consider the following potential prole: V(X) : 0, for Xa, and V(X) : V0 for OSXSa. This is called a potential barrier. A particle is incident on this barrier from the left with an energy 0a. (b) Write the continuity condition for the wave function and its rst 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 coefcient of the particle across the potential barrier. (e) What is the transmission coefficient in the limit EZVO