Q1: A one dimensional potential barrier is shown in the figure below. Calculate the transmission coefficient. E E >V1 > V2 V1 V2 x=0 x=a With wavefuction in each region as follow: V1(x) = etki* + Be¬ikix; %3D 2(x) = Ceik2* + De-ik2*; And 3 (x) = Eeik3x %3D Then use: h = 6.625 10-34)s, m = 9.109 10-31K9,e = 1.602 10-19, E = 5 e,V, = 0.6 E,V2 = 0.4 E, k, 2mE ,k2 2m(E-V;) ,k3 2m(E-V2) %3D to find the value transmission coefficient. %3D
Q1: A one dimensional potential barrier is shown in the figure below. Calculate the transmission coefficient. E E >V1 > V2 V1 V2 x=0 x=a With wavefuction in each region as follow: V1(x) = etki* + Be¬ikix; %3D 2(x) = Ceik2* + De-ik2*; And 3 (x) = Eeik3x %3D Then use: h = 6.625 10-34)s, m = 9.109 10-31K9,e = 1.602 10-19, E = 5 e,V, = 0.6 E,V2 = 0.4 E, k, 2mE ,k2 2m(E-V;) ,k3 2m(E-V2) %3D to find the value transmission coefficient. %3D
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Transcribed Image Text:Q1: A one dimensional potential barrier is shown in the figure below. Calculate the transmission
coefficient.
E
E >V1 > V2
V1
V2
x=0
x= a
With wavefuction in each region as follow:
41(x) = eikix + Be¬ik1x,
%3D
42(x) = Cek2* + De-ik2*,
And
3(x) = Eeik3x
%3D
Then use: h = 6.625 10-34Js, m = 9.109 10-31Kg, e = 1.602 10-19, E = 5 e, V1 = 0.6 E, V2 =
%3D
2mE
E, k2 =
2m(E-V1)
,k3
2m(E-V2)
0.4 E, k, :
to find the value transmission coefficient.
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