Chapter6_38 - PHY3063 R D Field Quantum Mechanical...

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PHY3063 R. D. Field Department of Physics Chapter6_38.doc University of Florida Quantum Mechanical Tunneling (3) A ik A ik A ik e e e e ikA e e e e ik A e e e e ikA ik A FDet L L L L L L L L L L L L κ 4 2 2 0 0 1 1 1 0 0 0 0 0 0 1 1 1 = + = + + = + + = + + + + + + Thus, () ) cosh( 2 ) sinh( ) ( 2 2 2 L ik L k Ae ik Det FDet F ikL + = = Transmission Coefficient: The probability that a particle entering from the left will make to into Region 3 is () () () ) ( sinh ) ( 4 4 ) ( sinh ] 4 ) [( 4 4 ) ( cosh 4 ) ( sinh ) ( 4 | | | | 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 L k k k L k k k k L k L k k A F P m k m k T + + = + + = + = = h h Notice that ( ) 2 0 2 0 2 0 2 2 2 2 2 2 / ) ( 2 sinh ) ( 4 1 ) ( sinh 4 ) ( 1 1 h E V m L E V E V L k k P T + = + + = High-Wide Barrier:
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This note was uploaded on 05/29/2011 for the course PHY 3063 taught by Professor Field during the Spring '07 term at University of Florida.

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