ch39-p058 - 58. (a) and (b) In the region 0 < x < L, U0 =...

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58. (a) and (b) In the region 0 < x < L , U 0 = 0, so Schrödinger’s equation for the region is d dx m h E 2 2 2 2 8 0 ψ += π where E > 0. If 2 ( x ) = B sin 2 kx , then ( x ) = B' sin kx , where B' is another constant satisfying B' 2 = B . Thus, 2 22 2 sin ( ) d kB k x k x dx =− and d dx m h Ek m h E 2 2 2 2 2 2 2 88 ψψ + ππ . This is zero provided that k mE h 2 2 2 8 = π The quantity on the right-hand side is positive, so
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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