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Unformatted text preview: > 0. Remember that, ( ) x = 0, , x x = ; and ( ) 1 x dx  = ; and ( ) ( ) ( ) f x x a dx f a = (a). By integrating the SEQ from to + , then taking the limit as 0, show that the condition on the derivative of the wavefunction, d /d x , for the case of the delta function potential is given by: ( ) 2 2 d d m dx dx +=  (b). Qualitatively sketch the wavefunction for this potential (it should look familiar!). (c). What are the solutions (x) to the SEQ in regions I and II (see figure above)? (d). By applying the continuity condition on at x=0, as well as the condition derived in (a) above, derive bound state energy E associated with the wavefunction you sketched in (b). x V(x)  (x) V=0 E I II +0 0...
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This note was uploaded on 09/20/2010 for the course PHYS 486 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Staff
 Energy, Force, Mass, Quantum Physics

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