Unformatted text preview: Consider transmission through two deltafunction barriers, V ( x ) = gδ ( x ) + gδ ( xL ), where g > 0. Use transfer matrix approach to ±nd the transmission probability T for a particle incident from the left, as a function of the incident momentum, k , and the barrier separation L . Make a plot of T versus kL for di³erent values of the parameter ka = p 2 k mg . Compare the location of the resonances to the energy eigenvalues of an in±nite square well of width L . In what limits to they match? 5. [20pts] Inverted Double Delta Potential: Consider a pair of inverted delta potentials, V ( x ) =gδ ( x )gδ ( xL ), where g > 0. ²ind the two boundstate energies and corresponding wavefunctions. What happens to each of the levels in the limit L → 0? Also in this limit, make a connection with the bound state of a single delta potential, V ( x ) =2 gδ ( x )?...
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 Fall '08
 MichaelMoore
 mechanics, Work, 10pts, plane wave incident, 15pts, 20pts, 30pts

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