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Unformatted text preview: x = a and x = b , with b &gt; a . Assuming that the WKB approximation holds, the wavefunction in each region can be written as x&lt;a = A p k ( x ) e i R x a k ( x ) dx + B p k ( x ) ei R x a k ( x ) dx (1) a&lt;x&lt;b = C p ( x ) eR x a ( x ) dx + D p ( x ) e R x a ( x ) dx (2) x&gt;b = F p k ( x ) e i R x b k ( x ) dx + G p k ( x ) ei R x b k ( x ) dx , (3) with k ( x ) = p 2 m ( EV ( x )) h , ( x ) = p 2 m ( V ( x )E ) h . (4) Use the WKB method to compute the 2 2 matrix M , dened by A B = M F G , (5) in terms of the parameter = exp h R b a ( x ) dx i . For G = 0 (no incoming wave from the right), write down the transmission coefcient T in the limit of a high and broad barrier ( 1 ). 1...
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This note was uploaded on 12/14/2009 for the course QUANTUM I 731 taught by Professor Everett during the Fall '09 term at University of Wisconsin.
 Fall '09
 Everett

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