Question

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 of ψ and

dψ/dx

to find B' and C' in terms of A', for the potential step when particles are incident from the negative x direction. Evaluate the reflection and transmission coefficients

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	= ?

Answer 1