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Unformatted text preview: V 2 , show that T ≤ T 1 , T ≤ T 2 . Oﬀer a physical explanation for these inequalitites. (c) What are the three sets of conditions under which T is maximized? What do these conditions correspond to physically? (d) A student argues that T is the product T 1 T 2 on the following grounds. The particle current that penetrates the V 1 barrier is T 1 J inc . This current is incident on the V 2 barrier so that T 2 ( T 1 J inc ) is the current transmit-ted through the second barrier. What is the incorrect assumption in his argument? 4. Calculate the transmission coeﬃcient T for the 1-D potential barrier: V ( x ) = , x <-a V ,-a < x < a-αV , x > a . [Note that the incident particle of energy E < V is going from x → -∞ to x → ∞ .] —— End ——...
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