A particle with the energy E is incident from the left on a potential step of height Uo and a delta-functional peak at r = 0: U (x) = 0, I <0 U (x) = Uo + V 8(x), Calculate the transmission and reflection coefficients at the energies E > Uo

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A particle with the energy \( E \) is incident from the left on a potential step of height \( U_0 \) and a delta-functional peak at \( x = 0 \):

\[
U(x) = 0, \quad x < 0 
\]

\[
U(x) = U_0 + V \delta(x), \quad x \geq 0 
\]

Calculate the transmission and reflection coefficients at the energies \( E > U_0 \).
Transcribed Image Text:A particle with the energy \( E \) is incident from the left on a potential step of height \( U_0 \) and a delta-functional peak at \( x = 0 \): \[ U(x) = 0, \quad x < 0 \] \[ U(x) = U_0 + V \delta(x), \quad x \geq 0 \] Calculate the transmission and reflection coefficients at the energies \( E > U_0 \).
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