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Using the wave functions ψ0(x) = A'eik0x + B'e−ik0x      x < 0 ψ1(x) = C'eik1x + D'e−ik1x      x > 0 for the potential energy step, apply...

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Physics

Using the wave functions

ψ0(x) =A'eik0x+B'e−ik0x    x < 0
ψ1(x) =C'eik1x+D'e−ik1x    x > 0

for the potential energy step, apply the boundary conditions ofψ and

dψ/dx

to find B' and C' in terms of A', forthe potential step when particles are incident from the negativex direction. Evaluate the reflection and transmissioncoefficients

R=

|B'|2
|A'|2

and

T=

k1|C'|2
k0 |A'|2

.

( k0=42 and k1=12)

B'= ? A'
C'= ? A'
R=
|B'|2
|A'|2
= ?
T=
k1
k0
|C'|2
|A'|2
= ?

R+T

= ?

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