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Transmission and Reflection From a Potential Step

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Find the solution of Schrodinger equation for a particle of mass m and energy E incident from the right on the potential step shown in fig 3.14 (attached file). Compare the probability currents in the reflected wave and in the transmitted wave with the probability current in the incident wave, and deduce the probabilities of reflection and transmission.

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The solution demonstrates how to get the transmission and reflection coefficients for a step potential when E>V0

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