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Unformatted text preview: Reflecting on Transmission 1 I: An asymmetric potential well The figure at the right shows a graph of the potential energy for a one-dimensional system. V ( x ) = 0 for x < 0 (region I ), V ( x ) =- V for 0 x < a (region II ), and V ( x ) = + V 1 for x a (region III ). x a- + I II III- V V 1 V H x L A. What are the units of V and V 1 ? Why? B. Write down the solution to the Schrodinger equation for regions I , II , and III . C. Describe in words the boundary conditions for this system for a situation which describes particles with energy 0 < E < V 1 and which approach from the left. How would the boundary conditions change for E > V 1 ? D. Write down an equation for each boundary condition. PHYS 3220 Tutorials 2009 c S. Goldhaber and the Physics Education Group University of Colorado, Boulder Reflecting on Transmission 2 E. Consider the transmission coefficient, ( T ) for this system (i.e., the probability that a particle entering from- will travel into region III ). Using physical arguments, but without)....
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