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Unformatted text preview: k ) and energy are determined by the boundary conditions yielding a discrete Energy spectrum. Finite well: wave function in classically forbidden region. 11. Time dependence of the wave function if not in an energy eigenstate; Write as linear combination of energy eigenstates. Probability density = , expectation values of x , H , etc. Tunneling 12. Example of a potential step; classically forbidden region. 13. Tunneling through a square potential barrier; normalizing to incoming flux; 14. Tunneling probability depends strongly on the thickness of barrier. Example: Scanning Tunneling Microscope Double wells. 15. The states are nearly degenerate (depends on strength of barrier and separation of the wells). 16. The energy eigenstates are approximately the symmetric and antisymmetric combinations of single well states. Example: ammonia molecule. 17. If a particle starts out in one well it will oscillate between the wells....
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 Spring '10
 ROTHBERG
 Momentum, Schrodinger Equation

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