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Unformatted text preview: CHEM 356, Lecture 15, Fall 2009 1 Barrier Potentials. Classical Mechanics: a particle of energy ? in region I and incident upon the barrier in the + direction will have probability unity of being reected if ? < , and probability unity of being transmitted if ? > . Quantum Mechanics: neither statement holds. Schr odinger equation: Regions I, III: 2 2 = 2 1 ; 1 = 2 ? , and I ( ) = ? e 1 + ? e 1 , < , III ( ) = ? e 1 + ? e 1 , > . Region II: 2 II 2 = 2 ( ? ) 2 II CHEM 356, Lecture 15, Fall 2009 2 The form of the solution in region II depends upon whether ? < or ? > : ? < II ( ) = ? e 2 + ? e 2 ; ; 2 = 2 ( ? ) ? > II ( ) = ? e 2 + ? e...
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This note was uploaded on 02/28/2011 for the course CHEM 356 taught by Professor Prof.iaskjd during the Fall '09 term at Waterloo.
- Fall '09