ch38-p067

# Ch38-p067 - 67(a If m is the mass of the particle and E is its energy then the transmission coefficient for a barrier of height Ub and width L is

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67. (a) If m is the mass of the particle and E is its energy, then the transmission coefficient for a barrier of height U b and width L is given by 2 , bL Te = where () 2 2 8 . b mU E b h π− = If the change U b in U b is small (as it is), the change in the transmission coefficient is given by 2. bb dT db TU L T U dU dU ∆= ∆ = Now, 2 2 22 8 18 1 . 2 b b b E db m b dU h U E h U E UE π == = −− Thus, . b b U TL T b For the data of Sample Problem 38-7, 2 bL = 10.0, so bL = 5.0 and ( )( ) 0.010 6.8eV 5.0 0.20 . 6.8eV 5.1eV b b U T bL E =− There is a 20% decrease in the transmission coefficient. (b) The change in the transmission coefficient is given by 2 bL dT b e L b T L dL ∆= ∆= − ∆ and

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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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Ch38-p067 - 67(a If m is the mass of the particle and E is its energy then the transmission coefficient for a barrier of height Ub and width L is

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